76364795520 has 256 divisors, whose sum is σ = 291264019200. Its totient is φ = 18797432832.

The previous prime is 76364795503. The next prime is 76364795539. The reversal of 76364795520 is 2559746367.

76364795520 is a `hidden beast` number, since 76 + 3 + 6 + 47 + 9 + 5 + 520 = 666.

It is a super-2 number, since 2×76364795520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 54669 + ... + 394611.

It is an arithmetic number, because the mean of its divisors is an integer number (1137750075).

Almost surely, 2^76364795520 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 76364795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145632009600).

76364795520 is an abundant number, since it is smaller than the sum of its proper divisors (214899223680).

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

76364795520 is a wasteful number, since it uses less digits than its factorization.

76364795520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339984 (or 339966 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 76364795520 in words is "seventy-six billion, three hundred sixty-four million, seven hundred ninety-five thousand, five hundred twenty".