76157568000000 has 588 divisors, whose sum is σ = 274997294247390. Its totient is φ = 20308377600000.

The previous prime is 76157567999977. The next prime is 76157568000089. The reversal of 76157568000000 is 86575167.

76157568000000 is a `hidden beast` number, since 76 + 1 + 575 + 6 + 8 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 34164679643136 + 41992888356864 = 5845056^2 + 6480192^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 76157568000000.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1151966946 + ... + 1152033054.

Almost surely, 2^{76157568000000} 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 76157568000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137498647123695).

76157568000000 is an abundant number, since it is smaller than the sum of its proper divisors (198839726247390).

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

76157568000000 is an frugal number, since it uses more digits than its factorization.

76157568000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66171 (or 66119 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 76157568000000 in words is "seventy-six trillion, one hundred fifty-seven billion, five hundred sixty-eight million", and thus it is an aban number.