6560517600 has 1728 divisors, whose sum is σ = 32757903360. Its totient is φ = 1194393600.

The previous prime is 6560517589. The next prime is 6560517629. The reversal of 6560517600 is 67150656.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 211629585 + ... + 211629615.

It is an arithmetic number, because the mean of its divisors is an integer number (18957120).

Almost surely, 2^6560517600 is an apocalyptic number.

6560517600 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 6560517600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16378951680).

6560517600 is an abundant number, since it is smaller than the sum of its proper divisors (26197385760).

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

6560517600 is a wasteful number, since it uses less digits than its factorization.

6560517600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 6560517600 is about 80997.0221674847. The cubic root of 6560517600 is about 1872.0295579379.

The spelling of 6560517600 in words is "six billion, five hundred sixty million, five hundred seventeen thousand, six hundred".