7715716560 has 480 divisors, whose sum is σ = 29267626752. Its totient is φ = 1881169920.

The previous prime is 7715716537. The next prime is 7715716571. The reversal of 7715716560 is 656175177.

7715716560 is a `hidden beast` number, since 7 + 7 + 15 + 71 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12227445 + ... + 12228075.

Almost surely, 2^7715716560 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 7715716560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14633813376).

7715716560 is an abundant number, since it is smaller than the sum of its proper divisors (21551910192).

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

7715716560 is a wasteful number, since it uses less digits than its factorization.

7715716560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The square root of 7715716560 is about 87839.1516352475. The cubic root of 7715716560 is about 1976.0234238619.

The spelling of 7715716560 in words is "seven billion, seven hundred fifteen million, seven hundred sixteen thousand, five hundred sixty".