6000841728 has 264 divisors, whose sum is σ = 19956972672. Its totient is φ = 1701199872.

The previous prime is 6000841727. The next prime is 6000841741. The reversal of 6000841728 is 8271480006.

6000841728 is a `hidden beast` number, since 600 + 0 + 8 + 41 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6000841692 and 6000841701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6000841727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10773226 + ... + 10773782.

Almost surely, 2^6000841728 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 6000841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9978486336).

6000841728 is an abundant number, since it is smaller than the sum of its proper divisors (13956130944).

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

6000841728 is a wasteful number, since it uses less digits than its factorization.

6000841728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 6000841728 is about 77465.1000644806. The cubic root of 6000841728 is about 1817.2055622634.

The spelling of 6000841728 in words is "six billion, eight hundred forty-one thousand, seven hundred twenty-eight".