6564616164656 has 160 divisors (see below), whose sum is σ = 14262978825216. Its totient is φ = 2901586688000.

The previous prime is 6564616164649. The next prime is 6564616164707.

6564616164656 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1113209900 + ... + 1113215796.

Almost surely, 2^{6564616164656} 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 6564616164656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131489412608).

6564616164656 is an abundant number, since it is smaller than the sum of its proper divisors (7698362660560).

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

6564616164656 is a wasteful number, since it uses less digits than its factorization.

6564616164656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7011 (or 7005 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 62.

The spelling of 6564616164656 in words is "six trillion, five hundred sixty-four billion, six hundred sixteen million, one hundred sixty-four thousand, six hundred fifty-six".