9628383638016 has 640 divisors, whose sum is σ = 33760881665280. Its totient is φ = 2693187256320.

The previous prime is 9628383638009. The next prime is 9628383638033. The reversal of 9628383638016 is 6108363838269.

9628383638016 is a `hidden beast` number, since 96 + 2 + 83 + 83 + 6 + 380 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239176546 + ... + 239216798.

It is an arithmetic number, because the mean of its divisors is an integer number (52751377602).

Almost surely, 2^{9628383638016} is an apocalyptic number.

9628383638016 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 9628383638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16880440832640).

9628383638016 is an abundant number, since it is smaller than the sum of its proper divisors (24132498027264).

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

9628383638016 is a wasteful number, since it uses less digits than its factorization.

9628383638016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40326 (or 40282 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 9628383638016 in words is "nine trillion, six hundred twenty-eight billion, three hundred eighty-three million, six hundred thirty-eight thousand, sixteen".