6006006006 has 128 divisors (see below), whose sum is σ = 16289344512. Its totient is φ = 1425600000.

The previous prime is 6006005989. The next prime is 6006006023.

6006006006 = 8079² + 8080² + ... + 8169².

6006006006 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6006005989) and next prime (6006006023).

6006006006 is a modest number, since divided by 6006006 gives 6 as remainder.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 601656 + ... + 611556.

It is an arithmetic number, because the mean of its divisors is an integer number (127260504).

Almost surely, 2^6006006006 is an apocalyptic number.

6006006006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6006006006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8144672256).

6006006006 is an abundant number, since it is smaller than the sum of its proper divisors (10283338506).

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

6006006006 is a wasteful number, since it uses less digits than its factorization.

6006006006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10038.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 6006006006 is about 77498.4258291741. The cubic root of 6006006006 is about 1817.7267038147.

It can be divided in two parts, 600600 and 6006, that multiplied together give a square (3607203600 = 60060²).

The spelling of 6006006006 in words is "six billion, six million, six thousand, six", and thus it is an eban number.