6560110656 has 168 divisors, whose sum is σ = 21067922304. Its totient is φ = 1934115840.

The previous prime is 6560110651. The next prime is 6560110673.

6560110656 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6560110656.

It is not an unprimeable number, because it can be changed into a prime (6560110651) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 220441 + ... + 248423.

Almost surely, 2^6560110656 is an apocalyptic number.

6560110656 is a gapful number since it is divisible by the number (66) 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 6560110656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533961152).

6560110656 is an abundant number, since it is smaller than the sum of its proper divisors (14507811648).

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

6560110656 is a wasteful number, since it uses less digits than its factorization.

6560110656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28049 (or 28036 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 6560110656 is about 80994.5100361747. The cubic root of 6560110656 is about 1871.9908502731.

The spelling of 6560110656 in words is "six billion, five hundred sixty million, one hundred ten thousand, six hundred fifty-six".