6564267216 has 200 divisors, whose sum is σ = 20614895840. Its totient is φ = 2004528384.

The previous prime is 6564267187. The next prime is 6564267221. The reversal of 6564267216 is 6127624656.

6564267216 is a `hidden beast` number, since 6 + 5 + 6 + 426 + 7 + 216 = 666.

It is a super-4 number, since 4×6564267216⁴ (a number of 40 digits) contains 4444 as substring.

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 39 ways as a sum of consecutive naturals, for example, 2340471 + ... + 2343273.

Almost surely, 2^6564267216 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 6564267216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10307447920).

6564267216 is an abundant number, since it is smaller than the sum of its proper divisors (14050628624).

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

6564267216 is a wasteful number, since it uses less digits than its factorization.

6564267216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2960 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 6564267216 is about 81020.1654898335. The cubic root of 6564267216 is about 1872.3861382943.

The spelling of 6564267216 in words is "six billion, five hundred sixty-four million, two hundred sixty-seven thousand, two hundred sixteen".