6006165900 has 144 divisors (see below), whose sum is σ = 19886060544. Its totient is φ = 1371064320.

The previous prime is 6006165887. The next prime is 6006165931. The reversal of 6006165900 is 95616006.

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 47 ways as a sum of consecutive naturals, for example, 2315004 + ... + 2317596.

Almost surely, 2^6006165900 is an apocalyptic number.

6006165900 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 6006165900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9943030272).

6006165900 is an abundant number, since it is smaller than the sum of its proper divisors (13879894644).

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

6006165900 is a wasteful number, since it uses less digits than its factorization.

6006165900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 6006165900 is about 77499.4574174555. The cubic root of 6006165900 is about 1817.7428343910.

The spelling of 6006165900 in words is "six billion, six million, one hundred sixty-five thousand, nine hundred".