76685115168 has 144 divisors (see below), whose sum is σ = 220601941560. Its totient is φ = 25267027968.

The previous prime is 76685115149. The next prime is 76685115173. The reversal of 76685115168 is 86151158667.

It is a happy number.

76685115168 is a `hidden beast` number, since 7 + 6 + 68 + 511 + 5 + 1 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69259501584 + 7425613584 = 263172^2 + 86172^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8903248 + ... + 8911856.

Almost surely, 2^76685115168 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 76685115168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110300970780).

76685115168 is an abundant number, since it is smaller than the sum of its proper divisors (143916826392).

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

76685115168 is a wasteful number, since it uses less digits than its factorization.

76685115168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8979 (or 8968 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 76685115168 in words is "seventy-six billion, six hundred eighty-five million, one hundred fifteen thousand, one hundred sixty-eight".