76712716394496 has 3024 divisors, whose sum is σ = 311910386439600. Its totient is φ = 17993237004288.

The previous prime is 76712716394437. The next prime is 76712716394543. The reversal of 76712716394496 is 69449361721767.

It is a happy number.

76712716394496 is a `hidden beast` number, since 7 + 6 + 7 + 1 + 2 + 71 + 63 + 9 + 4 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 197204926270 + ... + 197204926658.

Almost surely, 2^{76712716394496} is an apocalyptic number.

76712716394496 is a gapful number since it is divisible by the number (76) 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 76712716394496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155955193219800).

76712716394496 is an abundant number, since it is smaller than the sum of its proper divisors (235197670045104).

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

76712716394496 is a wasteful number, since it uses less digits than its factorization.

76712716394496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 450 counting only the distinct ones).

The product of its digits is 576108288, while the sum is 72.

The spelling of 76712716394496 in words is "seventy-six trillion, seven hundred twelve billion, seven hundred sixteen million, three hundred ninety-four thousand, four hundred ninety-six".