6560386560 has 960 divisors, whose sum is σ = 29388744000. Its totient is φ = 1374879744.

The previous prime is 6560386559. The next prime is 6560386607. The reversal of 6560386560 is 656830656.

6560386560 is a `hidden beast` number, since 6 + 5 + 6 + 0 + 3 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44029366 + ... + 44029514.

It is an arithmetic number, because the mean of its divisors is an integer number (30613275).

Almost surely, 2^6560386560 is an apocalyptic number.

6560386560 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 6560386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14694372000).

6560386560 is an abundant number, since it is smaller than the sum of its proper divisors (22828357440).

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

6560386560 is a wasteful number, since it uses less digits than its factorization.

6560386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 6560386560 is about 80996.2132448178. The cubic root of 6560386560 is about 1872.0170938610.

The spelling of 6560386560 in words is "six billion, five hundred sixty million, three hundred eighty-six thousand, five hundred sixty".