6004004006 has 48 divisors (see below), whose sum is σ = 12307937040. Its totient is φ = 2159277120.

The previous prime is 6004003987. The next prime is 6004004011.

6004004006 is nontrivially palindromic in base 10.

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 23 ways as a sum of consecutive naturals, for example, 200201 + ... + 228228.

It is an arithmetic number, because the mean of its divisors is an integer number (256415355).

Almost surely, 2^6004004006 is an apocalyptic number.

6004004006 is an abundant number, since it is smaller than the sum of its proper divisors (6303933034).

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

6004004006 is a wasteful number, since it uses less digits than its factorization.

6004004006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428469 (or 428462 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 6004004006 is about 77485.5083612413. The cubic root of 6004004006 is about 1817.5247119377.

It can be divided in two parts, 600400 and 4006, that added together give a palindrome (604406).

The spelling of 6004004006 in words is "six billion, four million, four thousand, six", and thus it is an eban number.