You have no idea.
Hercules was the original rock star. You have to remember that Hercules lived on Earth, a very popular demi-god amongst men, before his death and subsequent apotheosis as an immortal god. It wasn't just the 12 Labors or hanging out with Jason as a member of the Argonauts that kept him entertained. Hercules really got around!
In the myths Hercules had countless children, most out of wedlock. Take for example the story of Thespius, a king who had 50 beautiful daughters. Thespius hired Hercules to hunt a lion or other beast (a different lion than the Nemean one of legend). Thespius really admired Hercules and wanted grand children of his blood. So he told Hercules that as part of his compensation for hunting the lion he could lay with one of his daughters. The hunt, as it turns out, lasted 50 nights, and each night Hercules was visited by one of Thespius' daughters. When it was all said and done, Thespius' 50 daughters bore Hercules 50 sons. You read that correctly -- 50! Just add their names to the several dozen other children that Hercules sired.
I seriously doubt that Hercules knows the names of all of his children. He's kind of like Zeus in that regard. Like father, like son, I guess.
Sing it with me now:
"Papa was a rolling stone
Wherever he laid his hat was his home
And when he died
All he left us was alone"