6642804168 has 960 divisors, whose sum is σ = 27036240000. Its totient is φ = 1508855040.

The previous prime is 6642804163. The next prime is 6642804221. The reversal of 6642804168 is 8614082466.

6642804168 is a `hidden beast` number, since 66 + 428 + 0 + 4 + 168 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6642804163) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 349621263 + ... + 349621281.

It is an arithmetic number, because the mean of its divisors is an integer number (28162750).

Almost surely, 2^6642804168 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 6642804168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13518120000).

6642804168 is an abundant number, since it is smaller than the sum of its proper divisors (20393435832).

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

6642804168 is a wasteful number, since it uses less digits than its factorization.

6642804168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6642804168 is about 81503.3997327719. The cubic root of 6642804168 is about 1879.8238261049.

The spelling of 6642804168 in words is "six billion, six hundred forty-two million, eight hundred four thousand, one hundred sixty-eight".