6564936312 has 144 divisors (see below), whose sum is σ = 19960405920. Its totient is φ = 1946926080.

The previous prime is 6564936283. The next prime is 6564936331. The reversal of 6564936312 is 2136394656.

6564936312 is a `hidden beast` number, since 6 + 5 + 6 + 4 + 9 + 3 + 631 + 2 = 666.

It is a super-2 number, since 2×6564936312² = 86196777561232322688, which contains 22 as substring.

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, 401448 + ... + 417480.

It is an arithmetic number, because the mean of its divisors is an integer number (138613930).

Almost surely, 2^6564936312 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 6564936312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9980202960).

6564936312 is an abundant number, since it is smaller than the sum of its proper divisors (13395469608).

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

6564936312 is a wasteful number, since it uses less digits than its factorization.

6564936312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16114 (or 16096 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 6564936312 is about 81024.2945788484. The cubic root of 6564936312 is about 1872.4497535957.

The spelling of 6564936312 in words is "six billion, five hundred sixty-four million, nine hundred thirty-six thousand, three hundred twelve".