9882045600 has 432 divisors, whose sum is σ = 39626713728. Its totient is φ = 2125455360.

The previous prime is 9882045557. The next prime is 9882045619. The reversal of 9882045600 is 65402889.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1996729 + ... + 2001671.

It is an arithmetic number, because the mean of its divisors is an integer number (91728504).

Almost surely, 2^9882045600 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 9882045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813356864).

9882045600 is an abundant number, since it is smaller than the sum of its proper divisors (29744668128).

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

9882045600 is a wasteful number, since it uses less digits than its factorization.

9882045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4997 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 9882045600 is about 99408.4785116441. The cubic root of 9882045600 is about 2145.9303292652.

The spelling of 9882045600 in words is "nine billion, eight hundred eighty-two million, forty-five thousand, six hundred".