7963968256 has 72 divisors (see below), whose sum is σ = 17049780720. Its totient is φ = 3701108736.

The previous prime is 7963968253. The next prime is 7963968283. The reversal of 7963968256 is 6528693697.

It is a junction number, because it is equal to n+sod(n) for n = 7963968194 and 7963968203.

It is not an unprimeable number, because it can be changed into a prime (7963968253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242346 + ... + 273238.

It is an arithmetic number, because the mean of its divisors is an integer number (236802510).

Almost surely, 2^7963968256 is an apocalyptic number.

7963968256 is a gapful number since it is divisible by the number (76) 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 7963968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8524890360).

7963968256 is an abundant number, since it is smaller than the sum of its proper divisors (9085812464).

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

7963968256 is a wasteful number, since it uses less digits than its factorization.

7963968256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30981 (or 30967 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 61.

The square root of 7963968256 is about 89241.0682141356. The cubic root of 7963968256 is about 1996.9928354134.

The spelling of 7963968256 in words is "seven billion, nine hundred sixty-three million, nine hundred sixty-eight thousand, two hundred fifty-six".