6009684800 has 336 divisors, whose sum is σ = 18383585280. Its totient is φ = 1886976000.

The previous prime is 6009684797. The next prime is 6009684809. The reversal of 6009684800 is 84869006.

It is a super-2 number, since 2×6009684800² = 72232622790702080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6009684809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6596345 + ... + 6597255.

Almost surely, 2^6009684800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6009684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9191792640).

6009684800 is an abundant number, since it is smaller than the sum of its proper divisors (12373900480).

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

6009684800 is a wasteful number, since it uses less digits than its factorization.

6009684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 6009684800 is about 77522.1568327404. The cubic root of 6009684800 is about 1818.0977589017.

The spelling of 6009684800 in words is "six billion, nine million, six hundred eighty-four thousand, eight hundred".