79056624428352 has 560 divisors, whose sum is σ = 251276378677632. Its totient is φ = 24488333475840.

The previous prime is 79056624428317. The next prime is 79056624428377. The reversal of 79056624428352 is 25382442665097.

79056624428352 is a `hidden beast` number, since 7 + 9 + 0 + 5 + 6 + 62 + 442 + 83 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 79056624428352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22828939773 + ... + 22828943235.

Almost surely, 2^{79056624428352} is an apocalyptic number.

79056624428352 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 79056624428352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125638189338816).

79056624428352 is an abundant number, since it is smaller than the sum of its proper divisors (172219754249280).

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

79056624428352 is a wasteful number, since it uses less digits than its factorization.

79056624428352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708 (or 6689 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 79056624428352 in words is "seventy-nine trillion, fifty-six billion, six hundred twenty-four million, four hundred twenty-eight thousand, three hundred fifty-two".