7956544896 has 128 divisors (see below), whose sum is σ = 23516956800. Its totient is φ = 2648332800.

The previous prime is 7956544889. The next prime is 7956544903. The reversal of 7956544896 is 6984456597.

7956544896 is a `hidden beast` number, since 7 + 9 + 5 + 6 + 544 + 89 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (7956544889) and next prime (7956544903).

It is a tau number, because it is divible by the number of its divisors (128).

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, 3354591 + ... + 3356961.

It is an arithmetic number, because the mean of its divisors is an integer number (183726225).

Almost surely, 2^7956544896 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 7956544896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11758478400).

7956544896 is an abundant number, since it is smaller than the sum of its proper divisors (15560411904).

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

7956544896 is a wasteful number, since it uses less digits than its factorization.

7956544896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3347 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The square root of 7956544896 is about 89199.4669042366. The cubic root of 7956544896 is about 1996.3721647178.

The spelling of 7956544896 in words is "seven billion, nine hundred fifty-six million, five hundred forty-four thousand, eight hundred ninety-six".