76115668896 has 240 divisors, whose sum is σ = 237575612736. Its totient is φ = 23823673344.

The previous prime is 76115668829. The next prime is 76115668919. The reversal of 76115668896 is 69886651167.

76115668896 is a `hidden beast` number, since 7 + 61 + 1 + 566 + 8 + 8 + 9 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21457395 + ... + 21460941.

Almost surely, 2^76115668896 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 76115668896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118787806368).

76115668896 is an abundant number, since it is smaller than the sum of its proper divisors (161459943840).

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

76115668896 is a wasteful number, since it uses less digits than its factorization.

76115668896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073 (or 4056 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 76115668896 in words is "seventy-six billion, one hundred fifteen million, six hundred sixty-eight thousand, eight hundred ninety-six".