7993618240 has 56 divisors (see below), whose sum is σ = 19102757832. Its totient is φ = 3186032640.

The previous prime is 7993618169. The next prime is 7993618249. The reversal of 7993618240 is 428163997.

It can be written as a sum of positive squares in 4 ways, for example, as 386987584 + 7606630656 = 19672^2 + 87216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7993618249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45472 + ... + 134368.

Almost surely, 2^7993618240 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 7993618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9551378916).

7993618240 is an abundant number, since it is smaller than the sum of its proper divisors (11109139592).

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

7993618240 is a wasteful number, since it uses less digits than its factorization.

7993618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89195 (or 89185 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The square root of 7993618240 is about 89407.0368595224. The cubic root of 7993618240 is about 1999.4680451913.

The spelling of 7993618240 in words is "seven billion, nine hundred ninety-three million, six hundred eighteen thousand, two hundred forty".