76496425758720 has 1248 divisors, whose sum is σ = 299912500952064. Its totient is φ = 17872689561600.

The previous prime is 76496425758673. The next prime is 76496425758751. The reversal of 76496425758720 is 2785752469467.

76496425758720 is a `hidden beast` number, since 7 + 6 + 4 + 9 + 6 + 42 + 575 + 8 + 7 + 2 + 0 = 666.

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

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, 6899645017 + ... + 6899656103.

It is an arithmetic number, because the mean of its divisors is an integer number (240314503968).

Almost surely, 2^{76496425758720} 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 76496425758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149956250476032).

76496425758720 is an abundant number, since it is smaller than the sum of its proper divisors (223416075193344).

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

76496425758720 is a wasteful number, since it uses less digits than its factorization.

76496425758720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11257 (or 11232 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 72.

The spelling of 76496425758720 in words is "seventy-six trillion, four hundred ninety-six billion, four hundred twenty-five million, seven hundred fifty-eight thousand, seven hundred twenty".