76680567360 has 336 divisors, whose sum is σ = 268624092672. Its totient is φ = 20072448000.

The previous prime is 76680567323. The next prime is 76680567371. The reversal of 76680567360 is 6376508667.

76680567360 is a `hidden beast` number, since 76 + 6 + 8 + 0 + 567 + 3 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 76680567297 and 76680567306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77376465 + ... + 77377455.

Almost surely, 2^76680567360 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 76680567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134312046336).

76680567360 is an abundant number, since it is smaller than the sum of its proper divisors (191943525312).

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

76680567360 is a wasteful number, since it uses less digits than its factorization.

76680567360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 76680567360 in words is "seventy-six billion, six hundred eighty million, five hundred sixty-seven thousand, three hundred sixty".