Query below returns number of tables that don't have foreign keys and are not referenced by other tables with foreign keys.
This diagram illustrates Loner Tables concept:

Query
select count(distinct tab.table_schema || '.' || tab.table_name) as tables,
       count(distinct tab.table_schema || '.' || tab.table_name)
            - count(distinct rel.table_schema || '.' || rel.table_name)
            as loner_tables,
       round(100.0*(count(distinct tab.table_schema || '.' || tab.table_name)
            - count(distinct rel.table_schema || '.' || rel.table_name))
            /count(distinct tab.table_schema || '.' || tab.table_name),2) || '%'
            as loner_ratio
from information_schema.tables tab
left join (
          select distinct tco.table_schema ,tco.table_name 
          from information_schema.referential_constraints rco
          join information_schema.table_constraints tco 
               on rco.unique_constraint_name = tco.constraint_name
               and rco.unique_constraint_schema = tco.table_schema
          union all
          select distinct tco.table_schema, tco.table_name 
          from information_schema.referential_constraints rco
          join information_schema.table_constraints tco 
               on rco.constraint_name = tco.constraint_name
               and rco.constraint_schema = tco.table_schema
) rel on rel.table_name = tab.table_name 
    and rel.table_schema = tab.table_schema
where tab.table_schema not in ('information_schema', 'pg_catalog') 
      and tab.table_type ='BASE TABLE';
Columns
- tables - number of tables in database
- loner_tables - number of Loner Tables
- loner_ratio - Loner Ratio - % of Loner Tables
Rows
- Scope of rows: query returns one row
Sample results

 
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                 
                                                             
                                                             
                                                             
                                                             
                                                                 
                                                             
                                                             
                                                                 
                                                             
                                                             
                                                             
                                                             Bart Gawrych
                                                                        Bart Gawrych
                                 Amazon Redshift
                                                                Amazon Redshift
                                 SQL Server
                                                                                                SQL Server
                                             Azure SQL Database
                                                                                                Azure SQL Database
                                             Snowflake
                                                                                                Snowflake
                                             IBM Db2
                                                                                                IBM Db2
                                             Teradata
                                                                                                Teradata
                                             Vertica
                                                                                                Vertica
                                             PostgreSQL
                                                                                                PostgreSQL
                                             MySQL
                                                                                                MySQL
                                             MariaDB
                                                                                                MariaDB