79313165568 has 486 divisors, whose sum is σ = 288120847014. Its totient is φ = 20912726016.

The previous prime is 79313165543. The next prime is 79313165599. The reversal of 79313165568 is 86556131397.

79313165568 is a `hidden beast` number, since 7 + 9 + 3 + 13 + 1 + 65 + 568 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 32626944 + 79280538624 = 5712^2 + 281568^2 .

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 53 ways as a sum of consecutive naturals, for example, 19077346 + ... + 19081502.

It is an arithmetic number, because the mean of its divisors is an integer number (592841249).

Almost surely, 2^79313165568 is an apocalyptic number.

79313165568 is a gapful number since it is divisible by the number (78) 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 79313165568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144060423507).

79313165568 is an abundant number, since it is smaller than the sum of its proper divisors (208807681446).

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

79313165568 is a wasteful number, since it uses less digits than its factorization.

79313165568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219 (or 4182 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 79313165568 in words is "seventy-nine billion, three hundred thirteen million, one hundred sixty-five thousand, five hundred sixty-eight".