76849755586560 has 1728 divisors, whose sum is σ = 315952695152640. Its totient is φ = 17071865856000.

The previous prime is 76849755586523. The next prime is 76849755586649. The reversal of 76849755586560 is 6568555794867.

76849755586560 is a `hidden beast` number, since 7 + 6 + 8 + 4 + 9 + 7 + 5 + 558 + 6 + 56 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 76849755586560.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38214695955 + ... + 38214697965.

It is an arithmetic number, because the mean of its divisors is an integer number (182842994880).

Almost surely, 2^{76849755586560} 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 76849755586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157976347576320).

76849755586560 is an abundant number, since it is smaller than the sum of its proper divisors (239102939566080).

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

76849755586560 is a wasteful number, since it uses less digits than its factorization.

76849755586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 15240960000, while the sum is 81.

The spelling of 76849755586560 in words is "seventy-six trillion, eight hundred forty-nine billion, seven hundred fifty-five million, five hundred eighty-six thousand, five hundred sixty".