6564499200 has 864 divisors, whose sum is σ = 28265413120. Its totient is φ = 1478062080.

The previous prime is 6564499177. The next prime is 6564499213. The reversal of 6564499200 is 29944656.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 97977567 + ... + 97977633.

Almost surely, 2^6564499200 is an apocalyptic number.

6564499200 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 6564499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14132706560).

6564499200 is an abundant number, since it is smaller than the sum of its proper divisors (21700913920).

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

6564499200 is an frugal number, since it uses more digits than its factorization.

6564499200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6564499200 is about 81021.5971207677. The cubic root of 6564499200 is about 1872.4081950091.

The spelling of 6564499200 in words is "six billion, five hundred sixty-four million, four hundred ninety-nine thousand, two hundred".