6000006000006 has 48 divisors (see below), whose sum is σ = 13684525483200. Its totient is φ = 1894697022384.

The previous prime is 6000005999993. The next prime is 6000006000013.

6000006000006 is a `hidden beast` number, since 60 + 0 + 0 + 0 + 0 + 600 + 0 + 0 + 0 + 6 = 666.

6000006000006 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

6000006000006 is a modest number, since divided by 6000006 gives 6 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17815185 + ... + 18148851.

It is an arithmetic number, because the mean of its divisors is an integer number (285094280900).

Almost surely, 2^{6000006000006} is an apocalyptic number.

6000006000006 is an abundant number, since it is smaller than the sum of its proper divisors (7684519483194).

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

6000006000006 is a wasteful number, since it uses less digits than its factorization.

6000006000006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386273 (or 386270 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The spelling of 6000006000006 in words is "six trillion, six million, six", and thus it is an aban number, an eban number, and an uban number.