7992631296 has 336 divisors, whose sum is σ = 25761939840. Its totient is φ = 2371092480.

The previous prime is 7992631291. The next prime is 7992631301. The reversal of 7992631296 is 6921362997.

7992631296 is a `hidden beast` number, since 7 + 99 + 263 + 1 + 296 = 666.

It is an interprime number because it is at equal distance from previous prime (7992631291) and next prime (7992631301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7992631291) 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 23 ways as a sum of consecutive naturals, for example, 29712250 + ... + 29712518.

It is an arithmetic number, because the mean of its divisors is an integer number (76672440).

Almost surely, 2^7992631296 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 7992631296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12880969920).

7992631296 is an abundant number, since it is smaller than the sum of its proper divisors (17769308544).

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

7992631296 is a wasteful number, since it uses less digits than its factorization.

7992631296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 318 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 7992631296 is about 89401.5173025604. The cubic root of 7992631296 is about 1999.3857527028.

The spelling of 7992631296 in words is "seven billion, nine hundred ninety-two million, six hundred thirty-one thousand, two hundred ninety-six".