9633609216000 has 2496 divisors, whose sum is σ = 45608117068800. Its totient is φ = 1895104512000.

The previous prime is 9633609215963. The next prime is 9633609216029. The reversal of 9633609216000 is 6129063369.

It is a happy number.

9633609216000 is a `hidden beast` number, since 9 + 6 + 3 + 36 + 0 + 9 + 2 + 1 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6741503286 + ... + 6741504714.

It is an arithmetic number, because the mean of its divisors is an integer number (18272482800).

Almost surely, 2^{9633609216000} is an apocalyptic number.

9633609216000 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 9633609216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22804058534400).

9633609216000 is an abundant number, since it is smaller than the sum of its proper divisors (35974507852800).

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

9633609216000 is a wasteful number, since it uses less digits than its factorization.

9633609216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 9633609216000 in words is "nine trillion, six hundred thirty-three billion, six hundred nine million, two hundred sixteen thousand".