76638650256 has 560 divisors, whose sum is σ = 264489071616. Its totient is φ = 21049507584.

The previous prime is 76638650219. The next prime is 76638650269. The reversal of 76638650256 is 65205683667.

It is a happy number.

76638650256 is a `hidden beast` number, since 7 + 6 + 6 + 3 + 86 + 502 + 56 = 666.

It is a super-2 number, since 2×76638650256² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 111 ways as a sum of consecutive naturals, for example, 291401581 + ... + 291401843.

Almost surely, 2^76638650256 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 76638650256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132244535808).

76638650256 is an abundant number, since it is smaller than the sum of its proper divisors (187850421360).

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

76638650256 is a wasteful number, since it uses less digits than its factorization.

76638650256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 76638650256 in words is "seventy-six billion, six hundred thirty-eight million, six hundred fifty thousand, two hundred fifty-six".