76160466432 has 400 divisors, whose sum is σ = 238067387712. Its totient is φ = 24215224320.

The previous prime is 76160466427. The next prime is 76160466433. The reversal of 76160466432 is 23466406167.

It is a happy number.

76160466432 is a `hidden beast` number, since 7 + 6 + 1 + 604 + 6 + 6 + 4 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76160466433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79916068 + ... + 79917020.

Almost surely, 2^76160466432 is an apocalyptic number.

76160466432 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 76160466432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119033693856).

76160466432 is an abundant number, since it is smaller than the sum of its proper divisors (161906921280).

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

76160466432 is an equidigital number, since it uses as much as digits as its factorization.

76160466432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 76160466432 in words is "seventy-six billion, one hundred sixty million, four hundred sixty-six thousand, four hundred thirty-two".