9909729585360 has 800 divisors, whose sum is σ = 38116449676800. Its totient is φ = 2366128005120.

The previous prime is 9909729585341. The next prime is 9909729585373. The reversal of 9909729585360 is 635859279099.

It is a happy number.

9909729585360 is a `hidden beast` number, since 9 + 9 + 0 + 9 + 7 + 2 + 9 + 585 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1706511577 + ... + 1706517383.

It is an arithmetic number, because the mean of its divisors is an integer number (47645562096).

Almost surely, 2^{9909729585360} is an apocalyptic number.

9909729585360 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 9909729585360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19058224838400).

9909729585360 is an abundant number, since it is smaller than the sum of its proper divisors (28206720091440).

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

9909729585360 is a wasteful number, since it uses less digits than its factorization.

9909729585360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6201 (or 6186 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 72.

The spelling of 9909729585360 in words is "nine trillion, nine hundred nine billion, seven hundred twenty-nine million, five hundred eighty-five thousand, three hundred sixty".