6009136200 has 384 divisors, whose sum is σ = 22265539200. Its totient is φ = 1484144640.

The previous prime is 6009136181. The next prime is 6009136207. The reversal of 6009136200 is 26319006.

It is a happy number.

6009136200 is a `hidden beast` number, since 600 + 9 + 1 + 36 + 20 + 0 = 666.

It is a super-2 number, since 2×6009136200² = 72219435740300880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6009136207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6150112 + ... + 6151088.

It is an arithmetic number, because the mean of its divisors is an integer number (57983175).

Almost surely, 2^6009136200 is an apocalyptic number.

6009136200 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 6009136200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11132769600).

6009136200 is an abundant number, since it is smaller than the sum of its proper divisors (16256403000).

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

6009136200 is a wasteful number, since it uses less digits than its factorization.

6009136200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 6009136200 is about 77518.6184087410. The cubic root of 6009136200 is about 1818.0424349363.

The spelling of 6009136200 in words is "six billion, nine million, one hundred thirty-six thousand, two hundred".