9944902800 has 270 divisors, whose sum is σ = 40146830178. Its totient is φ = 2273080320.

The previous prime is 9944902789. The next prime is 9944902823. The reversal of 9944902800 is 82094499.

It can be written as a sum of positive squares in 3 ways, for example, as 53406864 + 9891495936 = 7308^2 + 99456^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 148212 + ... + 204588.

Almost surely, 2^9944902800 is an apocalyptic number.

9944902800 is a gapful number since it is divisible by the number (90) 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 9944902800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20073415089).

9944902800 is an abundant number, since it is smaller than the sum of its proper divisors (30201927378).

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

9944902800 is a wasteful number, since it uses less digits than its factorization.

9944902800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56415 (or 56394 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9944902800 is about 99724.1334883387. The cubic root of 9944902800 is about 2150.4706234944.

The spelling of 9944902800 in words is "nine billion, nine hundred forty-four million, nine hundred two thousand, eight hundred".