9963341288640 has 1344 divisors, whose sum is σ = 37883232092160. Its totient is φ = 2487250022400.

The previous prime is 9963341288443. The next prime is 9963341288653. The reversal of 9963341288640 is 468821433699.

9963341288640 is a `hidden beast` number, since 9 + 9 + 6 + 3 + 341 + 288 + 6 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21334777687 + ... + 21334778153.

It is an arithmetic number, because the mean of its divisors is an integer number (28186928640).

Almost surely, 2^{9963341288640} is an apocalyptic number.

9963341288640 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 9963341288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18941616046080).

9963341288640 is an abundant number, since it is smaller than the sum of its proper divisors (27919890803520).

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

9963341288640 is a wasteful number, since it uses less digits than its factorization.

9963341288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 730 counting only the distinct ones).

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

The spelling of 9963341288640 in words is "nine trillion, nine hundred sixty-three billion, three hundred forty-one million, two hundred eighty-eight thousand, six hundred forty".