6006640068 has 144 divisors (see below), whose sum is σ = 17883657792. Its totient is φ = 1675872000.

The previous prime is 6006640033. The next prime is 6006640111. The reversal of 6006640068 is 8600466006.

6006640068 is a `hidden beast` number, since 6 + 0 + 0 + 6 + 640 + 0 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2371963 + ... + 2374493.

It is an arithmetic number, because the mean of its divisors is an integer number (124192068).

Almost surely, 2^6006640068 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 6006640068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8941828896).

6006640068 is an abundant number, since it is smaller than the sum of its proper divisors (11877017724).

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

6006640068 is a wasteful number, since it uses less digits than its factorization.

6006640068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6006640068 is about 77502.5165268845. The cubic root of 6006640068 is about 1817.7906681682.

The spelling of 6006640068 in words is "six billion, six million, six hundred forty thousand, sixty-eight".