7991331264 has 112 divisors (see below), whose sum is σ = 26849222400. Its totient is φ = 2283234048.

The previous prime is 7991331233. The next prime is 7991331269. The reversal of 7991331264 is 4621331997.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×7991331264² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7991331269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318234 + ... + 342425.

It is an arithmetic number, because the mean of its divisors is an integer number (239725200).

Almost surely, 2^7991331264 is an apocalyptic number.

It is an amenable number.

7991331264 is an abundant number, since it is smaller than the sum of its proper divisors (18857891136).

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

7991331264 is a wasteful number, since it uses less digits than its factorization.

7991331264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660687 (or 660671 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 7991331264 is about 89394.2462577989. The cubic root of 7991331264 is about 1999.2773442491.

The spelling of 7991331264 in words is "seven billion, nine hundred ninety-one million, three hundred thirty-one thousand, two hundred sixty-four".