6560564010 has 512 divisors, whose sum is σ = 22824861696. Its totient is φ = 1161216000.

The previous prime is 6560563981. The next prime is 6560564011. The reversal of 6560564010 is 104650656.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (6560564011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36246120 + ... + 36246300.

It is an arithmetic number, because the mean of its divisors is an integer number (44579808).

Almost surely, 2^6560564010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6560564010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11412430848).

6560564010 is an abundant number, since it is smaller than the sum of its proper divisors (16264297686).

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

6560564010 is a wasteful number, since it uses less digits than its factorization.

6560564010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310.

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 6560564010 is about 80997.3086589919. The cubic root of 6560564010 is about 1872.0339722586.

It can be divided in two parts, 656056 and 4010, that added together give a palindrome (660066).

The spelling of 6560564010 in words is "six billion, five hundred sixty million, five hundred sixty-four thousand, ten".