9965732663040 has 1152 divisors, whose sum is σ = 41502788812800. Its totient is φ = 1976188600320.

The previous prime is 9965732663023. The next prime is 9965732663041. The reversal of 9965732663040 is 403662375699.

It is a super-2 number, since 2×9965732663040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9965732663041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3461524321 + ... + 3461527199.

It is an arithmetic number, because the mean of its divisors is an integer number (36026726400).

Almost surely, 2^{9965732663040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9965732663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20751394406400).

9965732663040 is an abundant number, since it is smaller than the sum of its proper divisors (31537056149760).

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

9965732663040 is a wasteful number, since it uses less digits than its factorization.

9965732663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 60.

The spelling of 9965732663040 in words is "nine trillion, nine hundred sixty-five billion, seven hundred thirty-two million, six hundred sixty-three thousand, forty".