76566939120 has 640 divisors, whose sum is σ = 319479552000. Its totient is φ = 16481525760.

The previous prime is 76566939109. The next prime is 76566939139. The reversal of 76566939120 is 2193966567.

76566939120 is a `hidden beast` number, since 76 + 566 + 9 + 3 + 9 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17975551 + ... + 17979809.

It is an arithmetic number, because the mean of its divisors is an integer number (499186800).

Almost surely, 2^76566939120 is an apocalyptic number.

76566939120 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 76566939120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159739776000).

76566939120 is an abundant number, since it is smaller than the sum of its proper divisors (242912612880).

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

76566939120 is a wasteful number, since it uses less digits than its factorization.

76566939120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358 (or 4346 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 76566939120 in words is "seventy-six billion, five hundred sixty-six million, nine hundred thirty-nine thousand, one hundred twenty".