6005941344 has 576 divisors, whose sum is σ = 20803910400. Its totient is φ = 1688573952.

The previous prime is 6005941327. The next prime is 6005941367. The reversal of 6005941344 is 4431495006.

6005941344 is a `hidden beast` number, since 60 + 0 + 594 + 1 + 3 + 4 + 4 = 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 = 6005941299 and 6005941308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101795587 + ... + 101795645.

It is an arithmetic number, because the mean of its divisors is an integer number (36117900).

Almost surely, 2^6005941344 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 6005941344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10401955200).

6005941344 is an abundant number, since it is smaller than the sum of its proper divisors (14797969056).

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

6005941344 is a wasteful number, since it uses less digits than its factorization.

6005941344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6005941344 is about 77498.0086453839. The cubic root of 6005941344 is about 1817.7201804410.

The spelling of 6005941344 in words is "six billion, five million, nine hundred forty-one thousand, three hundred forty-four".