9009798336 has 336 divisors, whose sum is σ = 33241049088. Its totient is φ = 2264371200.

The previous prime is 9009798323. The next prime is 9009798341. The reversal of 9009798336 is 6338979009.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1371636 + ... + 1378188.

Almost surely, 2^9009798336 is an apocalyptic number.

9009798336 is a gapful number since it is divisible by the number (96) 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 9009798336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16620524544).

9009798336 is an abundant number, since it is smaller than the sum of its proper divisors (24231250752).

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

9009798336 is a wasteful number, since it uses less digits than its factorization.

9009798336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6620 (or 6607 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 9009798336 is about 94919.9575221144. The cubic root of 9009798336 is about 2080.8384144687.

The spelling of 9009798336 in words is "nine billion, nine million, seven hundred ninety-eight thousand, three hundred thirty-six".