76475931840 has 896 divisors, whose sum is σ = 339191193600. Its totient is φ = 15757701120.

The previous prime is 76475931839. The next prime is 76475931853. The reversal of 76475931840 is 4813957467.

76475931840 is a `hidden beast` number, since 7 + 6 + 4 + 7 + 593 + 1 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92473507 + ... + 92474333.

It is an arithmetic number, because the mean of its divisors is an integer number (378561600).

Almost surely, 2^76475931840 is an apocalyptic number.

76475931840 is a gapful number since it is divisible by the number (70) 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 76475931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169595596800).

76475931840 is an abundant number, since it is smaller than the sum of its proper divisors (262715261760).

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

76475931840 is a wasteful number, since it uses less digits than its factorization.

76475931840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 76475931840 in words is "seventy-six billion, four hundred seventy-five million, nine hundred thirty-one thousand, eight hundred forty".