76688072220672 has 1120 divisors, whose sum is σ = 260218391228928. Its totient is φ = 22481141760000.

The previous prime is 76688072220607. The next prime is 76688072220763. The reversal of 76688072220672 is 27602227088667.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27378817672 + ... + 27378820472.

Almost surely, 2^{76688072220672} is an apocalyptic number.

76688072220672 is a gapful number since it is divisible by the number (72) 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 76688072220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130109195614464).

76688072220672 is an abundant number, since it is smaller than the sum of its proper divisors (183530319008256).

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

76688072220672 is an equidigital number, since it uses as much as digits as its factorization.

76688072220672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 76688072220672 in words is "seventy-six trillion, six hundred eighty-eight billion, seventy-two million, two hundred twenty thousand, six hundred seventy-two".