6005022336 has 192 divisors, whose sum is σ = 18377166600. Its totient is φ = 1882152960.

The previous prime is 6005022311. The next prime is 6005022343. The reversal of 6005022336 is 6332205006.

6005022336 is a `hidden beast` number, since 600 + 5 + 0 + 2 + 23 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5603420736 + 401601600 = 74856^2 + 20040^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 5659246 + ... + 5660306.

Almost surely, 2^6005022336 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 6005022336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9188583300).

6005022336 is an abundant number, since it is smaller than the sum of its proper divisors (12372144264).

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

6005022336 is a wasteful number, since it uses less digits than its factorization.

6005022336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 6005022336 is about 77492.0791823268. The cubic root of 6005022336 is about 1817.6274619975.

The spelling of 6005022336 in words is "six billion, five million, twenty-two thousand, three hundred thirty-six".