Actually, if you are south of the Ohio River, it is likely a 60-chromosome type.
“There is a 90-chromosome American persimmon that is native to the northern U.S. and a 60-chromosome type that is native to Kentucky and the southern U.S. Most of the named varieties are of the 90-chromosome type. When named varieties of the 90-chromosome type are grown in Kentucky and are pollinated by the 60-chromosome type the seeds abort and many of the fruit are seedless or have few seeds. A few American persimmons, such as ‘Meader,’ are self-fruitful and will set seedless fruit”
Conventional wisdom says that the Ohio River is more or less the ‘dividing line’ between the 60 and 90-chromosome races. I’m well south of the Ohio… more or less right on the KY/TN line… so, all the natives in this area should be 60s…
The local American Persimmons down in Texas also tend to drop well before the first frost around November/December and are very gooey sweet (definitely not mealy) when they do. Which sounds like yours. So, I would assume that these Southern varieties (and yours) are actually 60-chromosome, then.