9965418292704 has 384 divisors, whose sum is σ = 31616016768000. Its totient is φ = 2684893298688.

The previous prime is 9965418292681. The next prime is 9965418292757. The reversal of 9965418292704 is 4072928145699.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5570383842 + ... + 5570385630.

It is an arithmetic number, because the mean of its divisors is an integer number (82333377000).

Almost surely, 2^{9965418292704} 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 9965418292704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15808008384000).

9965418292704 is an abundant number, since it is smaller than the sum of its proper divisors (21650598475296).

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

9965418292704 is a wasteful number, since it uses less digits than its factorization.

9965418292704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 9965418292704 in words is "nine trillion, nine hundred sixty-five billion, four hundred eighteen million, two hundred ninety-two thousand, seven hundred four".