6082944000 has 704 divisors, whose sum is σ = 24197701632. Its totient is φ = 1327104000.

The previous prime is 6082943983. The next prime is 6082944013. The reversal of 6082944000 is 4492806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83327964 + ... + 83328036.

Almost surely, 2^6082944000 is an apocalyptic number.

6082944000 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 6082944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12098850816).

6082944000 is an abundant number, since it is smaller than the sum of its proper divisors (18114757632).

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

6082944000 is a wasteful number, since it uses less digits than its factorization.

6082944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 6082944000 is about 77993.2304754714. The cubic root of 6082944000 is about 1825.4555940183.

The spelling of 6082944000 in words is "six billion, eighty-two million, nine hundred forty-four thousand".