6560160768000 has 2016 divisors, whose sum is σ = 28028377166400. Its totient is φ = 1471492915200.

The previous prime is 6560160767869. The next prime is 6560160768041. The reversal of 6560160768000 is 8670610656.

6560160768000 is a `hidden beast` number, since 6 + 560 + 1 + 6 + 0 + 7 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32965631901 + ... + 32965632099.

Almost surely, 2^{6560160768000} is an apocalyptic number.

6560160768000 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 6560160768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14014188583200).

6560160768000 is an abundant number, since it is smaller than the sum of its proper divisors (21468216398400).

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

6560160768000 is a wasteful number, since it uses less digits than its factorization.

6560160768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 6560160768000 in words is "six trillion, five hundred sixty billion, one hundred sixty million, seven hundred sixty-eight thousand".