76727643636000 has 192 divisors, whose sum is σ = 287268298087680. Its totient is φ = 17537747097600.

The previous prime is 76727643635947. The next prime is 76727643636019. The reversal of 76727643636000 is 63634672767.

It is a happy number.

It is a super-2 number, since 2×76727643636000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456628165 + ... + 456796164.

It is an arithmetic number, because the mean of its divisors is an integer number (1496189052540).

Almost surely, 2^{76727643636000} is an apocalyptic number.

76727643636000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76727643636000 is an abundant number, since it is smaller than the sum of its proper divisors (210540654451680).

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

76727643636000 is a wasteful number, since it uses less digits than its factorization.

76727643636000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913424364 (or 913424346 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 57.

The spelling of 76727643636000 in words is "seventy-six trillion, seven hundred twenty-seven billion, six hundred forty-three million, six hundred thirty-six thousand".