If you are talking about "Dating" as simply meeting up with people to see if you like them and having dinner or a movie without any expectations about further involvement then the answer will be a higher number. However, if you mean "Dating" as the involvement
in a relationship that involves feelings and expectations about the other then the answer can only be 1 for me.
I notice that when I am seen with a girl here people automatically think that she is my girlfriend or that I am involved with her in another way. I tend to have a diverse group of friends that includes both girls and guys.
What does the term "Date" mean? Like do you screw around? How many people can you juggle at the same time?
Also depends what you mean by "at the same time" seriously being on a date with 1 girl is already quite a lot to handle, but being on a date with 2 or more girls... no thank you!!! I'd rather stay at home.
If this is not so much "at the same time" then the answer is and always has been 7! Number of days in the week ;-)