7993392768 has 256 divisors, whose sum is σ = 24781593600. Its totient is φ = 2531662848.

The previous prime is 7993392751. The next prime is 7993392817. The reversal of 7993392768 is 8672933997.

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 31 ways as a sum of consecutive naturals, for example, 18043555 + ... + 18043997.

It is an arithmetic number, because the mean of its divisors is an integer number (96803100).

Almost surely, 2^7993392768 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 7993392768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12390796800).

7993392768 is an abundant number, since it is smaller than the sum of its proper divisors (16788200832).

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

7993392768 is a wasteful number, since it uses less digits than its factorization.

7993392768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 698 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The square root of 7993392768 is about 89405.7759207983. The cubic root of 7993392768 is about 1999.4492456821.

The spelling of 7993392768 in words is "seven billion, nine hundred ninety-three million, three hundred ninety-two thousand, seven hundred sixty-eight".