6564114432 has 312 divisors, whose sum is σ = 20071619568. Its totient is φ = 2064384000.

The previous prime is 6564114343. The next prime is 6564114449. The reversal of 6564114432 is 2344114656.

6564114432 is a `hidden beast` number, since 6 + 5 + 641 + 1 + 4 + 4 + 3 + 2 = 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 23 ways as a sum of consecutive naturals, for example, 64991182 + ... + 64991282.

It is an arithmetic number, because the mean of its divisors is an integer number (64332114).

Almost surely, 2^6564114432 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 6564114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10035809784).

6564114432 is an abundant number, since it is smaller than the sum of its proper divisors (13507505136).

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

6564114432 is a wasteful number, since it uses less digits than its factorization.

6564114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 190 counting only the distinct ones).

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

The square root of 6564114432 is about 81019.2226079713. Note that the first 3 decimals coincide. The cubic root of 6564114432 is about 1872.3716115211.

The spelling of 6564114432 in words is "six billion, five hundred sixty-four million, one hundred fourteen thousand, four hundred thirty-two".