76489523929728 has 960 divisors, whose sum is σ = 275017321051200. Its totient is φ = 19987735412736.

The previous prime is 76489523929697. The next prime is 76489523929771. The reversal of 76489523929728 is 82792932598467.

76489523929728 is a `hidden beast` number, since 7 + 6 + 4 + 8 + 95 + 239 + 297 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26025695683 + ... + 26025698621.

It is an arithmetic number, because the mean of its divisors is an integer number (286476376095).

Almost surely, 2^{76489523929728} is an apocalyptic number.

76489523929728 is a gapful number since it is divisible by the number (78) 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 76489523929728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137508660525600).

76489523929728 is an abundant number, since it is smaller than the sum of its proper divisors (198527797121472).

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

76489523929728 is a wasteful number, since it uses less digits than its factorization.

76489523929728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3077 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 81.

The spelling of 76489523929728 in words is "seventy-six trillion, four hundred eighty-nine billion, five hundred twenty-three million, nine hundred twenty-nine thousand, seven hundred twenty-eight".