76272987264 has 256 divisors, whose sum is σ = 214562304000. Its totient is φ = 23973580800.

The previous prime is 76272987239. The next prime is 76272987277. The reversal of 76272987264 is 46278927267.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 76272987198 and 76272987207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92005602 + ... + 92006430.

It is an arithmetic number, because the mean of its divisors is an integer number (838134000).

Almost surely, 2^76272987264 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 76272987264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107281152000).

76272987264 is an abundant number, since it is smaller than the sum of its proper divisors (138289316736).

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

76272987264 is a wasteful number, since it uses less digits than its factorization.

76272987264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1055 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 60.

The spelling of 76272987264 in words is "seventy-six billion, two hundred seventy-two million, nine hundred eighty-seven thousand, two hundred sixty-four".