76347679680 has 224 divisors, whose sum is σ = 270369792000. Its totient is φ = 20281365504.

The previous prime is 76347679673. The next prime is 76347679697. The reversal of 76347679680 is 8697674367.

76347679680 is a `hidden beast` number, since 76 + 3 + 476 + 7 + 96 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2255521 + ... + 2289119.

It is an arithmetic number, because the mean of its divisors is an integer number (1207008000).

Almost surely, 2^76347679680 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 76347679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135184896000).

76347679680 is an abundant number, since it is smaller than the sum of its proper divisors (194022112320).

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

76347679680 is a wasteful number, since it uses less digits than its factorization.

76347679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33888 (or 33872 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 76347679680 in words is "seventy-six billion, three hundred forty-seven million, six hundred seventy-nine thousand, six hundred eighty".