7715938560 has 288 divisors, whose sum is σ = 27615192192. Its totient is φ = 1819607040.

The previous prime is 7715938553. The next prime is 7715938567. The reversal of 7715938560 is 658395177.

It is an interprime number because it is at equal distance from previous prime (7715938553) and next prime (7715938567).

It is not an unprimeable number, because it can be changed into a prime (7715938567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1560412 + ... + 1565348.

It is an arithmetic number, because the mean of its divisors is an integer number (95886084).

Almost surely, 2^7715938560 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 7715938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13807596096).

7715938560 is an abundant number, since it is smaller than the sum of its proper divisors (19899253632).

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

7715938560 is a wasteful number, since it uses less digits than its factorization.

7715938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5009 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The square root of 7715938560 is about 87840.4152995647. The cubic root of 7715938560 is about 1976.0423753527.

The spelling of 7715938560 in words is "seven billion, seven hundred fifteen million, nine hundred thirty-eight thousand, five hundred sixty".