79318713600 has 648 divisors, whose sum is σ = 326856857600. Its totient is φ = 17975623680.

The previous prime is 79318713563. The next prime is 79318713671. The reversal of 79318713600 is 631781397.

79318713600 is a `hidden beast` number, since 7 + 9 + 31 + 8 + 7 + 1 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 51205626 + ... + 51207174.

Almost surely, 2^79318713600 is an apocalyptic number.

79318713600 is a gapful number since it is divisible by the number (70) 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 79318713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163428428800).

79318713600 is an abundant number, since it is smaller than the sum of its proper divisors (247538144000).

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

79318713600 is a wasteful number, since it uses less digits than its factorization.

79318713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 79318713600 in words is "seventy-nine billion, three hundred eighteen million, seven hundred thirteen thousand, six hundred".