76156496640 has 864 divisors, whose sum is σ = 323641858176. Its totient is φ = 16137584640.

The previous prime is 76156496629. The next prime is 76156496651. The reversal of 76156496640 is 4669465167.

76156496640 is a `hidden beast` number, since 7 + 61 + 56 + 496 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (76156496629) and next prime (76156496651).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100073860 + ... + 100074620.

It is an arithmetic number, because the mean of its divisors is an integer number (374585484).

Almost surely, 2^76156496640 is an apocalyptic number.

76156496640 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 76156496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161820929088).

76156496640 is an abundant number, since it is smaller than the sum of its proper divisors (247485361536).

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

76156496640 is a wasteful number, since it uses less digits than its factorization.

76156496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 76156496640 in words is "seventy-six billion, one hundred fifty-six million, four hundred ninety-six thousand, six hundred forty".