76131915647040 has 896 divisors, whose sum is σ = 298027392768000. Its totient is φ = 18141705216000.

The previous prime is 76131915647033. The next prime is 76131915647093. The reversal of 76131915647040 is 4074651913167.

It is a happy number.

76131915647040 is a `hidden beast` number, since 7 + 6 + 1 + 3 + 1 + 9 + 1 + 564 + 70 + 4 + 0 = 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, 1334238031 + ... + 1334295089.

It is an arithmetic number, because the mean of its divisors is an integer number (332619858000).

Almost surely, 2^{76131915647040} 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 76131915647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149013696384000).

76131915647040 is an abundant number, since it is smaller than the sum of its proper divisors (221895477120960).

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

76131915647040 is a wasteful number, since it uses less digits than its factorization.

76131915647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57336 (or 57320 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 76131915647040 in words is "seventy-six trillion, one hundred thirty-one billion, nine hundred fifteen million, six hundred forty-seven thousand, forty".