9729823680000 has 1000 divisors, whose sum is σ = 37463311152960. Its totient is φ = 2510714880000.

The previous prime is 9729823679957. The next prime is 9729823680067. The reversal of 9729823680000 is 863289279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 803513946 + ... + 803526054.

Almost surely, 2^{9729823680000} is an apocalyptic number.

9729823680000 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 9729823680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18731655576480).

9729823680000 is an abundant number, since it is smaller than the sum of its proper divisors (27733487472960).

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

9729823680000 is an equidigital number, since it uses as much as digits as its factorization.

9729823680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12190 (or 12150 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 9729823680000 in words is "nine trillion, seven hundred twenty-nine billion, eight hundred twenty-three million, six hundred eighty thousand".