75979699488 has 1152 divisors, whose sum is σ = 306677145600. Its totient is φ = 18027878400.

The previous prime is 75979699417. The next prime is 75979699493. The reversal of 75979699488 is 88499697957.

75979699488 is a `hidden beast` number, since 7 + 5 + 9 + 79 + 69 + 9 + 488 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 274294806 + ... + 274295082.

It is an arithmetic number, because the mean of its divisors is an integer number (266212800).

Almost surely, 2^75979699488 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 75979699488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153338572800).

75979699488 is an abundant number, since it is smaller than the sum of its proper divisors (230697446112).

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

75979699488 is a wasteful number, since it uses less digits than its factorization.

75979699488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 350 counting only the distinct ones).

The product of its digits is 2469035520, while the sum is 81.

The spelling of 75979699488 in words is "seventy-five billion, nine hundred seventy-nine million, six hundred ninety-nine thousand, four hundred eighty-eight".