6564225024 has 504 divisors, whose sum is σ = 23308421760. Its totient is φ = 1771241472.

The previous prime is 6564225007. The next prime is 6564225049. The reversal of 6564225024 is 4205224656.

6564225024 is a `hidden beast` number, since 6 + 5 + 642 + 2 + 5 + 0 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6564225024.

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, 83091417 + ... + 83091495.

Almost surely, 2^6564225024 is an apocalyptic number.

6564225024 is a gapful number since it is divisible by the number (64) 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 6564225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11654210880).

6564225024 is an abundant number, since it is smaller than the sum of its proper divisors (16744196736).

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

6564225024 is a wasteful number, since it uses less digits than its factorization.

6564225024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 6564225024 is about 81019.9051097939. The cubic root of 6564225024 is about 1872.3821266820.

The spelling of 6564225024 in words is "six billion, five hundred sixty-four million, two hundred twenty-five thousand, twenty-four".