6560424000 has 672 divisors, whose sum is σ = 26019337344. Its totient is φ = 1567641600.

The previous prime is 6560423963. The next prime is 6560424007. The reversal of 6560424000 is 4240656.

It is a happy number.

6560424000 is a `hidden beast` number, since 656 + 0 + 4 + 2 + 4 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6560424007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40247919 + ... + 40248081.

It is an arithmetic number, because the mean of its divisors is an integer number (38719252).

Almost surely, 2^6560424000 is an apocalyptic number.

6560424000 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 6560424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13009668672).

6560424000 is an abundant number, since it is smaller than the sum of its proper divisors (19458913344).

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

6560424000 is a wasteful number, since it uses less digits than its factorization.

6560424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6560424000 is about 80996.4443664041. Note that the first 3 decimals coincide. The cubic root of 6560424000 is about 1872.0206550428.

Adding to 6560424000 its reverse (4240656), we get a palindrome (6564664656).

The spelling of 6560424000 in words is "six billion, five hundred sixty million, four hundred twenty-four thousand".