76056568599312 has 240 divisors, whose sum is σ = 259766280084480. Its totient is φ = 20304311731200.

The previous prime is 76056568599311. The next prime is 76056568599313. The reversal of 76056568599312 is 21399586565067.

76056568599312 is a `hidden beast` number, since 7 + 6 + 0 + 5 + 6 + 568 + 59 + 9 + 3 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (76056568599311) and next prime (76056568599313).

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

It is not an unprimeable number, because it can be changed into a prime (76056568599311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41058739 + ... + 42871122.

It is an arithmetic number, because the mean of its divisors is an integer number (1082359500352).

Almost surely, 2^{76056568599312} is an apocalyptic number.

76056568599312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76056568599312 is an abundant number, since it is smaller than the sum of its proper divisors (183709711485168).

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

76056568599312 is a wasteful number, since it uses less digits than its factorization.

76056568599312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83929942 (or 83929933 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 76056568599312 in words is "seventy-six trillion, fifty-six billion, five hundred sixty-eight million, five hundred ninety-nine thousand, three hundred twelve".