6672522768 has 160 divisors (see below), whose sum is σ = 18320256000. Its totient is φ = 2089371648.

The previous prime is 6672522707. The next prime is 6672522781. The reversal of 6672522768 is 8672252766.

It is a super-3 number, since 3×6672522768³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6672522768.

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, 10992321 + ... + 10992927.

It is an arithmetic number, because the mean of its divisors is an integer number (114501600).

Almost surely, 2^6672522768 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 6672522768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160128000).

6672522768 is an abundant number, since it is smaller than the sum of its proper divisors (11647733232).

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

6672522768 is a wasteful number, since it uses less digits than its factorization.

6672522768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 843 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The square root of 6672522768 is about 81685.5113713564. The cubic root of 6672522768 is about 1882.6229767160.

The spelling of 6672522768 in words is "six billion, six hundred seventy-two million, five hundred twenty-two thousand, seven hundred sixty-eight".