7993289952 has 240 divisors, whose sum is σ = 24894278640. Its totient is φ = 2511710208.

The previous prime is 7993289951. The next prime is 7993289999. The reversal of 7993289952 is 2599823997.

It is a self number, because there is not a number n which added to its sum of digits gives 7993289952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7993289951) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3230988 + ... + 3233460.

It is an arithmetic number, because the mean of its divisors is an integer number (103726161).

Almost surely, 2^7993289952 is an apocalyptic number.

7993289952 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 7993289952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12447139320).

7993289952 is an abundant number, since it is smaller than the sum of its proper divisors (16900988688).

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

7993289952 is a wasteful number, since it uses less digits than its factorization.

7993289952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2550 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The square root of 7993289952 is about 89405.2009225414. The cubic root of 7993289952 is about 1999.4406729245.

The spelling of 7993289952 in words is "seven billion, nine hundred ninety-three million, two hundred eighty-nine thousand, nine hundred fifty-two".