76384611072 has 1728 divisors, whose sum is σ = 323251568640. Its totient is φ = 16721510400.

The previous prime is 76384611047. The next prime is 76384611097. The reversal of 76384611072 is 27011648367.

76384611072 is a `hidden beast` number, since 7 + 638 + 4 + 6 + 1 + 1 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (76384611047) and next prime (76384611097).

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 191 ways as a sum of consecutive naturals, for example, 1776386283 + ... + 1776386325.

It is an arithmetic number, because the mean of its divisors is an integer number (187066880).

Almost surely, 2^76384611072 is an apocalyptic number.

76384611072 is a gapful number since it is divisible by the number (72) 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 76384611072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161625784320).

76384611072 is an abundant number, since it is smaller than the sum of its proper divisors (246866957568).

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

76384611072 is a wasteful number, since it uses less digits than its factorization.

76384611072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 76384611072 in words is "seventy-six billion, three hundred eighty-four million, six hundred eleven thousand, seventy-two".