8820185472 has 512 divisors, whose sum is σ = 32378880000. Its totient is φ = 2306672640.

The previous prime is 8820185461. The next prime is 8820185477. The reversal of 8820185472 is 2745810288.

It is a happy number.

8820185472 is a `hidden beast` number, since 88 + 20 + 1 + 8 + 547 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8820185477) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14248779 + ... + 14249397.

It is an arithmetic number, because the mean of its divisors is an integer number (63240000).

Almost surely, 2^8820185472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8820185472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189440000).

8820185472 is an abundant number, since it is smaller than the sum of its proper divisors (23558694528).

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

8820185472 is a wasteful number, since it uses less digits than its factorization.

8820185472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 8820185472 is about 93915.8424974189. The cubic root of 8820185472 is about 2066.1375907306.

The spelling of 8820185472 in words is "eight billion, eight hundred twenty million, one hundred eighty-five thousand, four hundred seventy-two".