7968007584 has 120 divisors (see below), whose sum is σ = 23831327520. Its totient is φ = 2610935424.

The previous prime is 7968007573. The next prime is 7968007633. The reversal of 7968007584 is 4857008697.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7968007584.

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 19 ways as a sum of consecutive naturals, for example, 126877 + ... + 178979.

It is an arithmetic number, because the mean of its divisors is an integer number (198594396).

Almost surely, 2^7968007584 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 7968007584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11915663760).

7968007584 is an abundant number, since it is smaller than the sum of its proper divisors (15863319936).

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

7968007584 is a wasteful number, since it uses less digits than its factorization.

7968007584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52184 (or 52167 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 7968007584 is about 89263.6968985713. The cubic root of 7968007584 is about 1997.3304035462.

The spelling of 7968007584 in words is "seven billion, nine hundred sixty-eight million, seven thousand, five hundred eighty-four".