6009445728 has 480 divisors, whose sum is σ = 21474173952. Its totient is φ = 1623628800.

The previous prime is 6009445721. The next prime is 6009445733. The reversal of 6009445728 is 8275449006.

It is a happy number.

It is a super-2 number, since 2×6009445728² = 72226875915554899968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6009445721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11490075 + ... + 11490597.

Almost surely, 2^6009445728 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 6009445728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10737086976).

6009445728 is an abundant number, since it is smaller than the sum of its proper divisors (15464728224).

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

6009445728 is a wasteful number, since it uses less digits than its factorization.

6009445728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6009445728 is about 77520.6148582427. The cubic root of 6009445728 is about 1818.0736499261.

The spelling of 6009445728 in words is "six billion, nine million, four hundred forty-five thousand, seven hundred twenty-eight".