76611409056 has 864 divisors, whose sum is σ = 296978572800. Its totient is φ = 18498170880.

The previous prime is 76611409003. The next prime is 76611409057. The reversal of 76611409056 is 65090411667.

It is a super-2 number, since 2×76611409056² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76611409057) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108055230 + ... + 108055938.

It is an arithmetic number, because the mean of its divisors is an integer number (343725200).

Almost surely, 2^76611409056 is an apocalyptic number.

76611409056 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 76611409056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148489286400).

76611409056 is an abundant number, since it is smaller than the sum of its proper divisors (220367163744).

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

76611409056 is a wasteful number, since it uses less digits than its factorization.

76611409056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 76611409056 in words is "seventy-six billion, six hundred eleven million, four hundred nine thousand, fifty-six".