65329084066752 has 448 divisors, whose sum is σ = 218722402483200. Its totient is φ = 18927472988160.

The previous prime is 65329084066717. The next prime is 65329084066777. The reversal of 65329084066752 is 25766048092356.

65329084066752 is a `hidden beast` number, since 6 + 5 + 32 + 90 + 8 + 406 + 67 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 65329084066752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1009425498 + ... + 1009490214.

It is an arithmetic number, because the mean of its divisors is an integer number (488219648400).

Almost surely, 2^{65329084066752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65329084066752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109361201241600).

65329084066752 is an abundant number, since it is smaller than the sum of its proper divisors (153393318416448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65329084066752 is a wasteful number, since it uses less digits than its factorization.

65329084066752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67081 (or 67065 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 65329084066752 in words is "sixty-five trillion, three hundred twenty-nine billion, eighty-four million, sixty-six thousand, seven hundred fifty-two".