79908627456 has 264 divisors, whose sum is σ = 268683390144. Its totient is φ = 22399303680.

The previous prime is 79908627397. The next prime is 79908627479. The reversal of 79908627456 is 65472680997.

79908627456 is a `hidden beast` number, since 79 + 90 + 8 + 6 + 27 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 79908627393 and 79908627402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3407451 + ... + 3430821.

Almost surely, 2^79908627456 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 79908627456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134341695072).

79908627456 is an abundant number, since it is smaller than the sum of its proper divisors (188774762688).

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

79908627456 is a wasteful number, since it uses less digits than its factorization.

79908627456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23457 (or 23436 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 79908627456 in words is "seventy-nine billion, nine hundred eight million, six hundred twenty-seven thousand, four hundred fifty-six".