8719936560 has 60 divisors (see below), whose sum is σ = 29284456032. Its totient is φ = 2325316224.

The previous prime is 8719936559. The next prime is 8719936567. The reversal of 8719936560 is 656399178.

8719936560 is a `hidden beast` number, since 8 + 71 + 9 + 9 + 3 + 6 + 560 = 666.

8719936560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×8719936560² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8719936497 and 8719936506.

It is not an unprimeable number, because it can be changed into a prime (8719936567) 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 11 ways as a sum of consecutive naturals, for example, 6054792 + ... + 6056231.

Almost surely, 2^8719936560 is an apocalyptic number.

8719936560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8719936560 is an abundant number, since it is smaller than the sum of its proper divisors (20564519472).

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

8719936560 is a wasteful number, since it uses less digits than its factorization.

8719936560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12111042 (or 12111033 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 8719936560 is about 93380.6005549333. The cubic root of 8719936560 is about 2058.2799416326.

The spelling of 8719936560 in words is "eight billion, seven hundred nineteen million, nine hundred thirty-six thousand, five hundred sixty".