6627142968 has 64 divisors (see below), whose sum is σ = 17042659200. Its totient is φ = 2146615680.

The previous prime is 6627142939. The next prime is 6627142969. The reversal of 6627142968 is 8692417266.

It is a self number, because there is not a number n which added to its sum of digits gives 6627142968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6627142969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94243 + ... + 148781.

It is an arithmetic number, because the mean of its divisors is an integer number (266291550).

Almost surely, 2^6627142968 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 6627142968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8521329600).

6627142968 is an abundant number, since it is smaller than the sum of its proper divisors (10415516232).

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

6627142968 is a wasteful number, since it uses less digits than its factorization.

6627142968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54692 (or 54688 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 6627142968 is about 81407.2660639086. The cubic root of 6627142968 is about 1878.3453609445.

The spelling of 6627142968 in words is "six billion, six hundred twenty-seven million, one hundred forty-two thousand, nine hundred sixty-eight".