79180964352 has 720 divisors, whose sum is σ = 282355856640. Its totient is φ = 21254897664.

The previous prime is 79180964339. The next prime is 79180964371. The reversal of 79180964352 is 25346908197.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 410263968 + ... + 410264160.

It is an arithmetic number, because the mean of its divisors is an integer number (392160912).

It is a 2-persistent number, because it is pandigital, and so is 2⋅79180964352 = 158361928704, but 3⋅79180964352 = 237542893056 is not.

Almost surely, 2^79180964352 is an apocalyptic number.

79180964352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79180964352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141177928320).

79180964352 is an abundant number, since it is smaller than the sum of its proper divisors (203174892288).

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

79180964352 is a wasteful number, since it uses less digits than its factorization.

79180964352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 79180964352 in words is "seventy-nine billion, one hundred eighty million, nine hundred sixty-four thousand, three hundred fifty-two".