79976595456000 has 1680 divisors, whose sum is σ = 309086100331008. Its totient is φ = 20639121408000.

The previous prime is 79976595455989. The next prime is 79976595456011. The reversal of 79976595456000 is 65459567997.

79976595456000 is a `hidden beast` number, since 7 + 9 + 9 + 7 + 6 + 5 + 9 + 5 + 4 + 5 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (79976595455989) and next prime (79976595456011).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 79976595456000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2579890175985 + ... + 2579890176015.

Almost surely, 2^{79976595456000} 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 79976595456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154543050165504).

79976595456000 is an abundant number, since it is smaller than the sum of its proper divisors (229109504875008).

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

79976595456000 is an frugal number, since it uses more digits than its factorization.

79976595456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 642978000, while the sum is 72.

The spelling of 79976595456000 in words is "seventy-nine trillion, nine hundred seventy-six billion, five hundred ninety-five million, four hundred fifty-six thousand".