6660268160 has 576 divisors, whose sum is σ = 21823081560. Its totient is φ = 1919877120.

The previous prime is 6660268157. The next prime is 6660268163. The reversal of 6660268160 is 618620666.

It is an interprime number because it is at equal distance from previous prime (6660268157) and next prime (6660268163).

It can be written as a sum of positive squares in 4 ways, for example, as 5066022976 + 1594245184 = 71176^2 + 39928^2 .

It is not an unprimeable number, because it can be changed into a prime (6660268163) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 214847345 + ... + 214847375.

Almost surely, 2^6660268160 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 6660268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10911540780).

6660268160 is an abundant number, since it is smaller than the sum of its proper divisors (15162813400).

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

6660268160 is a wasteful number, since it uses less digits than its factorization.

6660268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 6660268160 is about 81610.4659954837. The cubic root of 6660268160 is about 1881.4697424946.

The spelling of 6660268160 in words is "six billion, six hundred sixty million, two hundred sixty-eight thousand, one hundred sixty".