6560117760 has 704 divisors, whose sum is σ = 26345184768. Its totient is φ = 1358954496.

The previous prime is 6560117737. The next prime is 6560117779. The reversal of 6560117760 is 677110656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67630032 + ... + 67630128.

Almost surely, 2^6560117760 is an apocalyptic number.

6560117760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6560117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172592384).

6560117760 is an abundant number, since it is smaller than the sum of its proper divisors (19785067008).

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

6560117760 is a wasteful number, since it uses less digits than its factorization.

6560117760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 6560117760 is about 80994.5538909870. The cubic root of 6560117760 is about 1871.9915260044.

The spelling of 6560117760 in words is "six billion, five hundred sixty million, one hundred seventeen thousand, seven hundred sixty".