76671664128 has 240 divisors, whose sum is σ = 234538321920. Its totient is φ = 24728371200.

The previous prime is 76671664127. The next prime is 76671664133. The reversal of 76671664128 is 82146617667.

76671664128 is a `hidden beast` number, since 7 + 6 + 67 + 166 + 412 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (76671664127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13710613 + ... + 13716203.

It is an arithmetic number, because the mean of its divisors is an integer number (977243008).

Almost surely, 2^76671664128 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 76671664128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117269160960).

76671664128 is an abundant number, since it is smaller than the sum of its proper divisors (157866657792).

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

76671664128 is an equidigital number, since it uses as much as digits as its factorization.

76671664128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5659 (or 5627 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 76671664128 in words is "seventy-six billion, six hundred seventy-one million, six hundred sixty-four thousand, one hundred twenty-eight".