76517056512 has 672 divisors, whose sum is σ = 259034889600. Its totient is φ = 22267035648.

The previous prime is 76517056493. The next prime is 76517056531. The reversal of 76517056512 is 21565071567.

76517056512 is a `hidden beast` number, since 7 + 6 + 5 + 1 + 70 + 565 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (76517056493) and next prime (76517056531).

It is a super-2 number, since 2×76517056512² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 859742164 + ... + 859742252.

Almost surely, 2^76517056512 is an apocalyptic number.

76517056512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76517056512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129517444800).

76517056512 is an abundant number, since it is smaller than the sum of its proper divisors (182517833088).

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

76517056512 is a wasteful number, since it uses less digits than its factorization.

76517056512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 76517056512 in words is "seventy-six billion, five hundred seventeen million, fifty-six thousand, five hundred twelve".