6564232800 has 216 divisors, whose sum is σ = 23298571296. Its totient is φ = 1739013120.

The previous prime is 6564232783. The next prime is 6564232819. The reversal of 6564232800 is 82324656.

6564232800 is a `hidden beast` number, since 6 + 5 + 642 + 3 + 2 + 8 + 0 + 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 35 ways as a sum of consecutive naturals, for example, 1127497 + ... + 1133303.

It is an arithmetic number, because the mean of its divisors is an integer number (107863756).

Almost surely, 2^6564232800 is an apocalyptic number.

6564232800 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 6564232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11649285648).

6564232800 is an abundant number, since it is smaller than the sum of its proper divisors (16734338496).

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

6564232800 is a wasteful number, since it uses less digits than its factorization.

6564232800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5990 (or 5974 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6564232800 is about 81019.9530979869. The cubic root of 6564232800 is about 1872.3828660248.

The spelling of 6564232800 in words is "six billion, five hundred sixty-four million, two hundred thirty-two thousand, eight hundred".