76166943884928 has 1536 divisors, whose sum is σ = 258161414112000. Its totient is φ = 21953885995008.

The previous prime is 76166943884917. The next prime is 76166943884929. The reversal of 76166943884928 is 82948834966167.

76166943884928 is a `hidden beast` number, since 7 + 6 + 1 + 6 + 6 + 9 + 43 + 88 + 492 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (76166943884929) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 440271351850 + ... + 440271352022.

Almost surely, 2^{76166943884928} is an apocalyptic number.

76166943884928 is a gapful number since it is divisible by the number (78) 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 76166943884928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129080707056000).

76166943884928 is an abundant number, since it is smaller than the sum of its proper divisors (181994470227072).

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

76166943884928 is a wasteful number, since it uses less digits than its factorization.

76166943884928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 354 counting only the distinct ones).

The product of its digits is 6019743744, while the sum is 81.

The spelling of 76166943884928 in words is "seventy-six trillion, one hundred sixty-six billion, nine hundred forty-three million, eight hundred eighty-four thousand, nine hundred twenty-eight".