8182944000 has 1440 divisors, whose sum is σ = 38891204352. Its totient is φ = 1658880000.

The previous prime is 8182943981. The next prime is 8182944079. The reversal of 8182944000 is 4492818.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 199583980 + ... + 199584020.

Almost surely, 2^8182944000 is an apocalyptic number.

8182944000 is a gapful number since it is divisible by the number (80) 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 8182944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19445602176).

8182944000 is an abundant number, since it is smaller than the sum of its proper divisors (30708260352).

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

8182944000 is a wasteful number, since it uses less digits than its factorization.

8182944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8182944000 is about 90459.6263534180. The cubic root of 8182944000 is about 2015.1305774867.

The spelling of 8182944000 in words is "eight billion, one hundred eighty-two million, nine hundred forty-four thousand".