76412661160 has 128 divisors (see below), whose sum is σ = 190711635840. Its totient is φ = 27320832000.

The previous prime is 76412661077. The next prime is 76412661223. The reversal of 76412661160 is 6116621467.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18187060 + ... + 18191260.

It is an arithmetic number, because the mean of its divisors is an integer number (1489934655).

Almost surely, 2^76412661160 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 76412661160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95355817920).

76412661160 is an abundant number, since it is smaller than the sum of its proper divisors (114298974680).

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

76412661160 is a wasteful number, since it uses less digits than its factorization.

76412661160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4907 (or 4903 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 76412661160 in words is "seventy-six billion, four hundred twelve million, six hundred sixty-one thousand, one hundred sixty".