76332072960 has 816 divisors, whose sum is σ = 312594897888. Its totient is φ = 16986931200.

The previous prime is 76332072959. The next prime is 76332072983. The reversal of 76332072960 is 6927023367.

76332072960 is a `hidden beast` number, since 7 + 633 + 2 + 0 + 7 + 2 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421724070 + ... + 421724250.

Almost surely, 2^76332072960 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 76332072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156297448944).

76332072960 is an abundant number, since it is smaller than the sum of its proper divisors (236262824928).

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

76332072960 is a wasteful number, since it uses less digits than its factorization.

76332072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 76332072960 in words is "seventy-six billion, three hundred thirty-two million, seventy-two thousand, nine hundred sixty".