8849802960 has 320 divisors, whose sum is σ = 31369420800. Its totient is φ = 2292115968.

The previous prime is 8849802887. The next prime is 8849803013. The reversal of 8849802960 is 692089488.

8849802960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8849802897 and 8849802906.

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 63 ways as a sum of consecutive naturals, for example, 18171837 + ... + 18172323.

It is an arithmetic number, because the mean of its divisors is an integer number (98029440).

Almost surely, 2^8849802960 is an apocalyptic number.

8849802960 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 8849802960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15684710400).

8849802960 is an abundant number, since it is smaller than the sum of its proper divisors (22519617840).

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

8849802960 is a wasteful number, since it uses less digits than its factorization.

8849802960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 8849802960 is about 94073.3913495203. The cubic root of 8849802960 is about 2068.4476494146.

The spelling of 8849802960 in words is "eight billion, eight hundred forty-nine million, eight hundred two thousand, nine hundred sixty".