79625310336 has 768 divisors, whose sum is σ = 282910790400. Its totient is φ = 21897216000.

The previous prime is 79625310313. The next prime is 79625310367. The reversal of 79625310336 is 63301352697.

79625310336 is a `hidden beast` number, since 7 + 9 + 625 + 3 + 10 + 3 + 3 + 6 = 666.

It is a super-2 number, since 2×79625310336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 79625310291 and 79625310300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 527319861 + ... + 527320011.

It is an arithmetic number, because the mean of its divisors is an integer number (368373425).

Almost surely, 2^79625310336 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 79625310336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141455395200).

79625310336 is an abundant number, since it is smaller than the sum of its proper divisors (203285480064).

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

79625310336 is a wasteful number, since it uses less digits than its factorization.

79625310336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 79625310336 in words is "seventy-nine billion, six hundred twenty-five million, three hundred ten thousand, three hundred thirty-six".