6560870400 has 780 divisors, whose sum is σ = 28020690192. Its totient is φ = 1486356480.

The previous prime is 6560870369. The next prime is 6560870453. The reversal of 6560870400 is 40780656.

It is a happy number.

6560870400 is a `hidden beast` number, since 6 + 5 + 608 + 7 + 0 + 40 + 0 = 666.

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 59 ways as a sum of consecutive naturals, for example, 58060744 + ... + 58060856.

Almost surely, 2^6560870400 is an apocalyptic number.

6560870400 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 6560870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14010345096).

6560870400 is an abundant number, since it is smaller than the sum of its proper divisors (21459819792).

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

6560870400 is a wasteful number, since it uses less digits than its factorization.

6560870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6560870400 is about 80999.1999960493. The cubic root of 6560870400 is about 1872.0631142429.

The spelling of 6560870400 in words is "six billion, five hundred sixty million, eight hundred seventy thousand, four hundred".