76432163328 has 640 divisors, whose sum is σ = 248544806400. Its totient is φ = 23123460096.

The previous prime is 76432163299. The next prime is 76432163363. The reversal of 76432163328 is 82336123467.

76432163328 is a `hidden beast` number, since 7 + 6 + 4 + 3 + 2 + 1 + 633 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 858788308 + ... + 858788396.

It is an arithmetic number, because the mean of its divisors is an integer number (388351260).

Almost surely, 2^76432163328 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 76432163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124272403200).

76432163328 is an abundant number, since it is smaller than the sum of its proper divisors (172112643072).

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

76432163328 is a wasteful number, since it uses less digits than its factorization.

76432163328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 76432163328 in words is "seventy-six billion, four hundred thirty-two million, one hundred sixty-three thousand, three hundred twenty-eight".