9798008832000 has 1728 divisors, whose sum is σ = 38583288866304. Its totient is φ = 2475845222400.

The previous prime is 9798008831971. The next prime is 9798008832043. The reversal of 9798008832000 is 2388008979.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91570175947 + ... + 91570176053.

It is an arithmetic number, because the mean of its divisors is an integer number (22328292168).

Almost surely, 2^{9798008832000} is an apocalyptic number.

9798008832000 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 9798008832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19291644433152).

9798008832000 is an abundant number, since it is smaller than the sum of its proper divisors (28785280034304).

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

9798008832000 is an frugal number, since it uses more digits than its factorization.

9798008832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 9798008832000 in words is "nine trillion, seven hundred ninety-eight billion, eight million, eight hundred thirty-two thousand".