9726965826800 has 360 divisors, whose sum is σ = 25628136371376. Its totient is φ = 3544898273280.

The previous prime is 9726965826779. The next prime is 9726965826863. The reversal of 9726965826800 is 86285696279.

9726965826800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9726965826800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 561691742 + ... + 561709058.

Almost surely, 2^{9726965826800} 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 9726965826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12814068185688).

9726965826800 is an abundant number, since it is smaller than the sum of its proper divisors (15901170544576).

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

9726965826800 is a wasteful number, since it uses less digits than its factorization.

9726965826800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17525 (or 17497 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 68.

The spelling of 9726965826800 in words is "nine trillion, seven hundred twenty-six billion, nine hundred sixty-five million, eight hundred twenty-six thousand, eight hundred".