76116967680 has 288 divisors, whose sum is σ = 265126095360. Its totient is φ = 18498355200.

The previous prime is 76116967649. The next prime is 76116967699. The reversal of 76116967680 is 8676961167.

It is a self number, because there is not a number n which added to its sum of digits gives 76116967680.

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, 3934030 + ... + 3953330.

It is an arithmetic number, because the mean of its divisors is an integer number (920576720).

Almost surely, 2^76116967680 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 76116967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132563047680).

76116967680 is an abundant number, since it is smaller than the sum of its proper divisors (189009127680).

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

76116967680 is a wasteful number, since it uses less digits than its factorization.

76116967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19417 (or 19403 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 76116967680 in words is "seventy-six billion, one hundred sixteen million, nine hundred sixty-seven thousand, six hundred eighty".