6566889168 has 120 divisors (see below), whose sum is σ = 21036832128. Its totient is φ = 1873287936.

The previous prime is 6566889143. The next prime is 6566889169. The reversal of 6566889168 is 8619886656.

6566889168 is a `hidden beast` number, since 6 + 566 + 8 + 8 + 9 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6566889169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677605 + ... + 687227.

Almost surely, 2^6566889168 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 6566889168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10518416064).

6566889168 is an abundant number, since it is smaller than the sum of its proper divisors (14469942960).

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

6566889168 is a wasteful number, since it uses less digits than its factorization.

6566889168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10321 (or 10312 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The square root of 6566889168 is about 81036.3447349398. The cubic root of 6566889168 is about 1872.6353995815.

It can be divided in two parts, 656688 and 9168, that added together give a square (665856 = 816²).

The spelling of 6566889168 in words is "six billion, five hundred sixty-six million, eight hundred eighty-nine thousand, one hundred sixty-eight".