8643249120 has 384 divisors, whose sum is σ = 31338897408. Its totient is φ = 1981900800.

The previous prime is 8643249119. The next prime is 8643249127. The reversal of 8643249120 is 219423468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8643249127) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 12507975 + ... + 12508665.

It is an arithmetic number, because the mean of its divisors is an integer number (81611712).

Almost surely, 2^8643249120 is an apocalyptic number.

8643249120 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 8643249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15669448704).

8643249120 is an abundant number, since it is smaller than the sum of its proper divisors (22695648288).

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

8643249120 is a wasteful number, since it uses less digits than its factorization.

8643249120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 8643249120 is about 92969.0761490077. The cubic root of 8643249120 is about 2052.2283221578.

The spelling of 8643249120 in words is "eight billion, six hundred forty-three million, two hundred forty-nine thousand, one hundred twenty".