7971108264 has 320 divisors, whose sum is σ = 26161090560. Its totient is φ = 2220825600.

The previous prime is 7971108259. The next prime is 7971108289. The reversal of 7971108264 is 4628011797.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58183204 + ... + 58183340.

It is an arithmetic number, because the mean of its divisors is an integer number (81753408).

Almost surely, 2^7971108264 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 7971108264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13080545280).

7971108264 is an abundant number, since it is smaller than the sum of its proper divisors (18189982296).

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

7971108264 is a wasteful number, since it uses less digits than its factorization.

7971108264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 7971108264 is about 89281.0633001198. The cubic root of 7971108264 is about 1997.5894511277.

The spelling of 7971108264 in words is "seven billion, nine hundred seventy-one million, one hundred eight thousand, two hundred sixty-four".