6013928160 has 288 divisors, whose sum is σ = 22364385120. Its totient is φ = 1509064704.

The previous prime is 6013928159. The next prime is 6013928183. The reversal of 6013928160 is 618293106.

6013928160 is a `hidden beast` number, since 601 + 39 + 2 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1246072 + ... + 1250888.

It is an arithmetic number, because the mean of its divisors is an integer number (77654115).

Almost surely, 2^6013928160 is an apocalyptic number.

6013928160 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 6013928160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11182192560).

6013928160 is an abundant number, since it is smaller than the sum of its proper divisors (16350456960).

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

6013928160 is a wasteful number, since it uses less digits than its factorization.

6013928160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875 (or 4844 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6013928160 is about 77549.5206948438. The cubic root of 6013928160 is about 1818.5255699262.

The spelling of 6013928160 in words is "six billion, thirteen million, nine hundred twenty-eight thousand, one hundred sixty".