7956329472 has 528 divisors, whose sum is σ = 28969799040. Its totient is φ = 2047279104.

The previous prime is 7956329471. The next prime is 7956329503. The reversal of 7956329472 is 2749236597.

7956329472 is a `hidden beast` number, since 7 + 9 + 563 + 2 + 9 + 4 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7956329471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44448679 + ... + 44448857.

Almost surely, 2^7956329472 is an apocalyptic number.

7956329472 is a gapful number since it is divisible by the number (72) 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 7956329472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14484899520).

7956329472 is an abundant number, since it is smaller than the sum of its proper divisors (21013469568).

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

7956329472 is a wasteful number, since it uses less digits than its factorization.

7956329472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 7956329472 is about 89198.2593552139. The cubic root of 7956329472 is about 1996.3541472507.

The spelling of 7956329472 in words is "seven billion, nine hundred fifty-six million, three hundred twenty-nine thousand, four hundred seventy-two".