7993738368 has 1280 divisors, whose sum is σ = 34123161600. Its totient is φ = 1791590400.

The previous prime is 7993738279. The next prime is 7993738373. The reversal of 7993738368 is 8638373997.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 257862513 + ... + 257862543.

It is an arithmetic number, because the mean of its divisors is an integer number (26658720).

Almost surely, 2^7993738368 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 7993738368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061580800).

7993738368 is an abundant number, since it is smaller than the sum of its proper divisors (26129423232).

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

7993738368 is a wasteful number, since it uses less digits than its factorization.

7993738368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The square root of 7993738368 is about 89407.7086609427. The cubic root of 7993738368 is about 1999.4780611351.

The spelling of 7993738368 in words is "seven billion, nine hundred ninety-three million, seven hundred thirty-eight thousand, three hundred sixty-eight".