76691890488192 has 1536 divisors, whose sum is σ = 267641210880000. Its totient is φ = 19303311605760.

The previous prime is 76691890488151. The next prime is 76691890488203. The reversal of 76691890488192 is 29188409819667.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38365126809 + ... + 38365128807.

It is an arithmetic number, because the mean of its divisors is an integer number (174245580000).

Almost surely, 2^{76691890488192} 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 76691890488192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133820605440000).

76691890488192 is an abundant number, since it is smaller than the sum of its proper divisors (190949320391808).

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

76691890488192 is a wasteful number, since it uses less digits than its factorization.

76691890488192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 78.

The spelling of 76691890488192 in words is "seventy-six trillion, six hundred ninety-one billion, eight hundred ninety million, four hundred eighty-eight thousand, one hundred ninety-two".