76775040800640 has 4608 divisors, whose sum is σ = 354204969431040. Its totient is φ = 15169754234880.

The previous prime is 76775040800621. The next prime is 76775040800657. The reversal of 76775040800640 is 4600804057767.

76775040800640 is a `hidden beast` number, since 7 + 6 + 77 + 504 + 0 + 8 + 0 + 0 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 604527880257 + ... + 604527880383.

It is an arithmetic number, because the mean of its divisors is an integer number (76867397880).

Almost surely, 2^{76775040800640} is an apocalyptic number.

76775040800640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76775040800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177102484715520).

76775040800640 is an abundant number, since it is smaller than the sum of its proper divisors (277429928630400).

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

76775040800640 is a wasteful number, since it uses less digits than its factorization.

76775040800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 76775040800640 in words is "seventy-six trillion, seven hundred seventy-five billion, forty million, eight hundred thousand, six hundred forty".