“Someone recently told me that this Gemara lists a number if stars, which was about two digits more or less from the number that NASA gives!”
The number of stars given by the Gemara in Berachos (32b) is 1,064,340,000,000,000,000
The number of stars given by Modern Science varies based on diffeent approximations, but is anywhere from 70,000,000,000,000,000,000,000 to 1,000,000,000,000,000,000,000,000 which while obviously based on approximations and extrapolations from the number of stars which can be seen, is 1,000-10,000 times more than the gemara’s number.
Interestingly, the Ralbag in his commentary to Lech Lecha writes that Avraham saw in a nevuah that his descendants would be as numerous as the uncountable stars but that was because at that time the number of stars was not known. I.e. the Ralbag thought that where were rather few stars (as he explains in Milchamos H’) but Avraham’s nevuah reflected the (mistaken) belief that there were in fact numerous stars. He holds that nevuah doesn’t have to reflect reality; it reflects the navi’s view of reality (although I think in Milchamos H’ he explains differently).