7973312256 has 432 divisors, whose sum is σ = 29971940544. Its totient is φ = 1978269696.

The previous prime is 7973312201. The next prime is 7973312261. The reversal of 7973312256 is 6522133797.

7973312256 is a `hidden beast` number, since 7 + 97 + 331 + 225 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3563170 + ... + 3565406.

It is an arithmetic number, because the mean of its divisors is an integer number (69379492).

Almost surely, 2^7973312256 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 7973312256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14985970272).

7973312256 is an abundant number, since it is smaller than the sum of its proper divisors (21998628288).

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

7973312256 is a wasteful number, since it uses less digits than its factorization.

7973312256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2279 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 7973312256 is about 89293.4054451951. The cubic root of 7973312256 is about 1997.7735436992.

The spelling of 7973312256 in words is "seven billion, nine hundred seventy-three million, three hundred twelve thousand, two hundred fifty-six".