76574275680 has 576 divisors, whose sum is σ = 286775536320. Its totient is φ = 17122000896.

The previous prime is 76574275663. The next prime is 76574275693. The reversal of 76574275680 is 8657247567.

It is a super-3 number, since 3×76574275680³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76574275680.

It is a congruent number.

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, 328644844 + ... + 328645076.

It is an arithmetic number, because the mean of its divisors is an integer number (497874195).

Almost surely, 2^76574275680 is an apocalyptic number.

76574275680 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 76574275680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143387768160).

76574275680 is an abundant number, since it is smaller than the sum of its proper divisors (210201260640).

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

76574275680 is a wasteful number, since it uses less digits than its factorization.

76574275680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 57.

The spelling of 76574275680 in words is "seventy-six billion, five hundred seventy-four million, two hundred seventy-five thousand, six hundred eighty".