9033682648320 has 432 divisors, whose sum is σ = 36102734845632. Its totient is φ = 2061160611840.

The previous prime is 9033682648307. The next prime is 9033682648321. The reversal of 9033682648320 is 238462863309.

9033682648320 is a `hidden beast` number, since 90 + 3 + 36 + 8 + 26 + 483 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9033682648321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57519 + ... + 4250961.

It is an arithmetic number, because the mean of its divisors is an integer number (83571145476).

Almost surely, 2^{9033682648320} is an apocalyptic number.

9033682648320 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 9033682648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18051367422816).

9033682648320 is an abundant number, since it is smaller than the sum of its proper divisors (27069052197312).

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

9033682648320 is a wasteful number, since it uses less digits than its factorization.

9033682648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193498 (or 4193481 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 9033682648320 in words is "nine trillion, thirty-three billion, six hundred eighty-two million, six hundred forty-eight thousand, three hundred twenty".