9802944000 has 800 divisors, whose sum is σ = 38311333632. Its totient is φ = 2488320000.

The previous prime is 9802943981. The next prime is 9802944001. The reversal of 9802944000 is 4492089.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×9802944000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9802944001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 160703970 + ... + 160704030.

Almost surely, 2^9802944000 is an apocalyptic number.

9802944000 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 9802944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19155666816).

9802944000 is an abundant number, since it is smaller than the sum of its proper divisors (28508389632).

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

9802944000 is an equidigital number, since it uses as much as digits as its factorization.

9802944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9802944000 is about 99009.8176950145. The cubic root of 9802944000 is about 2140.1892283249.

The spelling of 9802944000 in words is "nine billion, eight hundred two million, nine hundred forty-four thousand".