6006672000 has 768 divisors, whose sum is σ = 25319174400. Its totient is φ = 1336320000.

The previous prime is 6006671981. The next prime is 6006672011. The reversal of 6006672000 is 2766006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59471950 + ... + 59472050.

It is an arithmetic number, because the mean of its divisors is an integer number (32967675).

Almost surely, 2^6006672000 is an apocalyptic number.

6006672000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6006672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12659587200).

6006672000 is an abundant number, since it is smaller than the sum of its proper divisors (19312502400).

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

6006672000 is a wasteful number, since it uses less digits than its factorization.

6006672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 6006672000 is about 77502.7225328246. The cubic root of 6006672000 is about 1817.7938893583.

The spelling of 6006672000 in words is "six billion, six million, six hundred seventy-two thousand".