6006006000 has 120 divisors (see below), whose sum is σ = 20977039824. Its totient is φ = 1601596800.

The previous prime is 6006005989. The next prime is 6006006023. The reversal of 6006006000 is 6006006.

6006006000 is a `hidden beast` number, since 6 + 0 + 0 + 60 + 0 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148834 + ... + 184833.

Almost surely, 2^6006006000 is an apocalyptic number.

6006006000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6006006000 is an abundant number, since it is smaller than the sum of its proper divisors (14971033824).

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

6006006000 is a wasteful number, since it uses less digits than its factorization.

6006006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333696 (or 333677 counting only the distinct ones).

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

The square root of 6006006000 is about 77498.4257904636. The cubic root of 6006006000 is about 1817.7267032094.

6006006000 divided by its reverse (6006006) gives a cube (1000 = 10³).

The spelling of 6006006000 in words is "six billion, six million, six thousand", and thus it is an eban number.