7993220352 has 288 divisors, whose sum is σ = 24964598400. Its totient is φ = 2248114176.

The previous prime is 7993220351. The next prime is 7993220353. The reversal of 7993220352 is 2530223997.

It is an interprime number because it is at equal distance from previous prime (7993220351) and next prime (7993220353).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7993220351) by changing a digit.

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, 5500458 + ... + 5501910.

Almost surely, 2^7993220352 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 7993220352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12482299200).

7993220352 is an abundant number, since it is smaller than the sum of its proper divisors (16971378048).

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

7993220352 is a wasteful number, since it uses less digits than its factorization.

7993220352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 7993220352 is about 89404.8116825935. The cubic root of 7993220352 is about 1999.4348696622.

The spelling of 7993220352 in words is "seven billion, nine hundred ninety-three million, two hundred twenty thousand, three hundred fifty-two".