9964689566832 has 360 divisors, whose sum is σ = 38111706163440. Its totient is φ = 2389136117760.

The previous prime is 9964689566831. The next prime is 9964689566849. The reversal of 9964689566832 is 2386659864699.

9964689566832 is a `hidden beast` number, since 9 + 9 + 6 + 46 + 8 + 9 + 566 + 8 + 3 + 2 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9964689566831) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3928857 + ... + 5946872.

It is an arithmetic number, because the mean of its divisors is an integer number (105865850454).

Almost surely, 2^{9964689566832} is an apocalyptic number.

It is an amenable number.

9964689566832 is an abundant number, since it is smaller than the sum of its proper divisors (28147016596608).

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

9964689566832 is a wasteful number, since it uses less digits than its factorization.

9964689566832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9875781 (or 9875765 counting only the distinct ones).

The product of its digits is 7255941120, while the sum is 81.

The spelling of 9964689566832 in words is "nine trillion, nine hundred sixty-four billion, six hundred eighty-nine million, five hundred sixty-six thousand, eight hundred thirty-two".