6560436340656 has 320 divisors, whose sum is σ = 21588666570240. Its totient is φ = 1889295528960.

The previous prime is 6560436340603. The next prime is 6560436340681.

It is a happy number.

6560436340656 is a `hidden beast` number, since 6 + 560 + 4 + 36 + 3 + 40 + 6 + 5 + 6 = 666.

6560436340656 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7126566 + ... + 7994298.

It is an arithmetic number, because the mean of its divisors is an integer number (67464583032).

Almost surely, 2^{6560436340656} is an apocalyptic number.

6560436340656 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 6560436340656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10794333285120).

6560436340656 is an abundant number, since it is smaller than the sum of its proper divisors (15028230229584).

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

6560436340656 is a wasteful number, since it uses less digits than its factorization.

6560436340656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867841 (or 867829 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 54.

The spelling of 6560436340656 in words is "six trillion, five hundred sixty billion, four hundred thirty-six million, three hundred forty thousand, six hundred fifty-six".