76038494376960 has 528 divisors, whose sum is σ = 287610197784000. Its totient is φ = 19209718923264.

The previous prime is 76038494376959. The next prime is 76038494376997. The reversal of 76038494376960 is 6967349483067.

76038494376960 is a `hidden beast` number, since 7 + 6 + 0 + 3 + 8 + 494 + 3 + 76 + 9 + 60 = 666.

It is a super-2 number, since 2×76038494376960² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22030716 + ... + 25247364.

Almost surely, 2^{76038494376960} 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 76038494376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143805098892000).

76038494376960 is an abundant number, since it is smaller than the sum of its proper divisors (211571703407040).

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

76038494376960 is a wasteful number, since it uses less digits than its factorization.

76038494376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216708 (or 3216678 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 72.

The spelling of 76038494376960 in words is "seventy-six trillion, thirty-eight billion, four hundred ninety-four million, three hundred seventy-six thousand, nine hundred sixty".