7971298608 has 320 divisors, whose sum is σ = 26909388800. Its totient is φ = 1974481920.

The previous prime is 7971298579. The next prime is 7971298613. The reversal of 7971298608 is 8068921797.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11535543 + ... + 11536233.

It is an arithmetic number, because the mean of its divisors is an integer number (84091840).

Almost surely, 2^7971298608 is an apocalyptic number.

7971298608 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7971298608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13454694400).

7971298608 is an abundant number, since it is smaller than the sum of its proper divisors (18938090192).

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

7971298608 is a wasteful number, since it uses less digits than its factorization.

7971298608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 57.

The square root of 7971298608 is about 89282.1292756843. The cubic root of 7971298608 is about 1997.6053513065.

The spelling of 7971298608 in words is "seven billion, nine hundred seventy-one million, two hundred ninety-eight thousand, six hundred eight".