76679123888640 has 5760 divisors, whose sum is σ = 354035283148800. Its totient is φ = 14028232458240.

The previous prime is 76679123888611. The next prime is 76679123888677. The reversal of 76679123888640 is 4688832197667.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 861563189716 + ... + 861563189804.

It is an arithmetic number, because the mean of its divisors is an integer number (61464458880).

Almost surely, 2^{76679123888640} is an apocalyptic number.

76679123888640 is a gapful number since it is divisible by the number (70) 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 76679123888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177017641574400).

76679123888640 is an abundant number, since it is smaller than the sum of its proper divisors (277356159260160).

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

76679123888640 is a wasteful number, since it uses less digits than its factorization.

76679123888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 75.

The spelling of 76679123888640 in words is "seventy-six trillion, six hundred seventy-nine billion, one hundred twenty-three million, eight hundred eighty-eight thousand, six hundred forty".