6005832000 has 336 divisors, whose sum is σ = 23073530688. Its totient is φ = 1372492800.

The previous prime is 6005831981. The next prime is 6005832023. The reversal of 6005832000 is 2385006.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 1173447 + ... + 1178553.

Almost surely, 2^6005832000 is an apocalyptic number.

6005832000 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 6005832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11536765344).

6005832000 is an abundant number, since it is smaller than the sum of its proper divisors (17067698688).

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

6005832000 is a wasteful number, since it uses less digits than its factorization.

6005832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6005832000 is about 77497.3031788849. The cubic root of 6005832000 is about 1817.7091492531.

The spelling of 6005832000 in words is "six billion, five million, eight hundred thirty-two thousand".