6000066000 has 120 divisors (see below), whose sum is σ = 20956293384. Its totient is φ = 1600012800.

The previous prime is 6000065989. The next prime is 6000066011. The reversal of 6000066000 is 6600006.

6000066000 is a `hidden beast` number, since 6 + 0 + 0 + 0 + 0 + 660 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6000065989) and next prime (6000066011).

It can be written as a sum of positive squares in 4 ways, for example, as 475414416 + 5524651584 = 21804^2 + 74328^2 .

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.

6000066000 is a modest number, since divided by 66000 gives 6000 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148669 + ... + 184668.

Almost surely, 2^6000066000 is an apocalyptic number.

6000066000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6000066000 is an abundant number, since it is smaller than the sum of its proper divisors (14956227384).

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

6000066000 is a wasteful number, since it uses less digits than its factorization.

6000066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333366 (or 333347 counting only the distinct ones).

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

The square root of 6000066000 is about 77460.0929511448. The cubic root of 6000066000 is about 1817.1272555832.

Adding to 6000066000 its reverse (6600006), we get a palindrome (6006666006).

The spelling of 6000066000 in words is "six billion, sixty-six thousand", and thus it is an eban number.