6563664400 has 60 divisors (see below), whose sum is σ = 15788511172. Its totient is φ = 2622251520.

The previous prime is 6563664377. The next prime is 6563664421. The reversal of 6563664400 is 44663656.

It can be written as a sum of positive squares in 6 ways, for example, as 2256630016 + 4307034384 = 47504^2 + 65628^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 331582 + ... + 350818.

Almost surely, 2^6563664400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6563664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894255586).

6563664400 is an abundant number, since it is smaller than the sum of its proper divisors (9224846772).

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

6563664400 is a wasteful number, since it uses less digits than its factorization.

6563664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20108 (or 20097 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The square root of 6563664400 is about 81016.4452441602. The cubic root of 6563664400 is about 1872.3288209611.

The spelling of 6563664400 in words is "six billion, five hundred sixty-three million, six hundred sixty-four thousand, four hundred".