6566006656 has 64 divisors (see below), whose sum is σ = 14296613760. Its totient is φ = 2978956800.

The previous prime is 6566006617. The next prime is 6566006687.

6566006656 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6566006656² = 86224886813272604672, 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 7 ways as a sum of consecutive naturals, for example, 799885 + ... + 808051.

It is an arithmetic number, because the mean of its divisors is an integer number (223384590).

Almost surely, 2^6566006656 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 6566006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7148306880).

6566006656 is an abundant number, since it is smaller than the sum of its proper divisors (7730607104).

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

6566006656 is a wasteful number, since it uses less digits than its factorization.

6566006656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8763 (or 8751 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 46.

The square root of 6566006656 is about 81030.8993902943. The cubic root of 6566006656 is about 1872.5515091627.

The spelling of 6566006656 in words is "six billion, five hundred sixty-six million, six thousand, six hundred fifty-six".