6006006006006 has 64 divisors (see below), whose sum is σ = 12748797960192. Its totient is φ = 1883191680000.

The previous prime is 6006006005971. The next prime is 6006006006043.

6006006006006 is nontrivially palindromic in base 10.

6006006006006 is a modest number, since divided by 6006006 gives 6006 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613566 + ... + 3519726.

It is an arithmetic number, because the mean of its divisors is an integer number (199199968128).

Almost surely, 2^{6006006006006} is an apocalyptic number.

6006006006006 is an abundant number, since it is smaller than the sum of its proper divisors (6742791954186).

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

6006006006006 is a wasteful number, since it uses less digits than its factorization.

6006006006006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906509.

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 6006006006006 in words is "six trillion, six billion, six million, six thousand, six", and thus it is an eban number.