6045984000 has 432 divisors, whose sum is σ = 24871392000. Its totient is φ = 1381478400.

The previous prime is 6045983981. The next prime is 6045984019. The reversal of 6045984000 is 4895406.

6045984000 is a `hidden beast` number, since 60 + 4 + 598 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6045983981) and next prime (6045984019).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2014501 + ... + 2017499.

Almost surely, 2^6045984000 is an apocalyptic number.

6045984000 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 6045984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12435696000).

6045984000 is an abundant number, since it is smaller than the sum of its proper divisors (18825408000).

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

6045984000 is a wasteful number, since it uses less digits than its factorization.

6045984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6045984000 is about 77755.9258191940. The cubic root of 6045984000 is about 1821.7509213632.

The spelling of 6045984000 in words is "six billion, forty-five million, nine hundred eighty-four thousand".