76126890430656 has 1008 divisors, whose sum is σ = 246767164600320. Its totient is φ = 22303127347200.

The previous prime is 76126890430609. The next prime is 76126890430687. The reversal of 76126890430656 is 65603409862167.

76126890430656 is a `hidden beast` number, since 7 + 6 + 1 + 2 + 68 + 90 + 430 + 6 + 56 = 666.

It is a super-2 number, since 2×76126890430656² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76126890430593 and 76126890430602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 212052619405 + ... + 212052619763.

It is an arithmetic number, because the mean of its divisors is an integer number (244808695040).

It is a 1-persistent number, because it is pandigital, but 2⋅76126890430656 = 152253780861312 is not.

Almost surely, 2^{76126890430656} 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 76126890430656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123383582300160).

76126890430656 is an abundant number, since it is smaller than the sum of its proper divisors (170640274169664).

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

76126890430656 is a wasteful number, since it uses less digits than its factorization.

76126890430656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 76126890430656 in words is "seventy-six trillion, one hundred twenty-six billion, eight hundred ninety million, four hundred thirty thousand, six hundred fifty-six".