7940947968 has 240 divisors, whose sum is σ = 24378648000. Its totient is φ = 2551578624.

The previous prime is 7940947943. The next prime is 7940947981. The reversal of 7940947968 is 8697490497.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12828363 + ... + 12828981.

It is an arithmetic number, because the mean of its divisors is an integer number (101577700).

Almost surely, 2^7940947968 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 7940947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12189324000).

7940947968 is an abundant number, since it is smaller than the sum of its proper divisors (16437700032).

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

7940947968 is an equidigital number, since it uses as much as digits as its factorization.

7940947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The square root of 7940947968 is about 89111.9967681120. The cubic root of 7940947968 is about 1995.0668393006.

The spelling of 7940947968 in words is "seven billion, nine hundred forty million, nine hundred forty-seven thousand, nine hundred sixty-eight".