9681819840000 has 4200 divisors, whose sum is σ = 46457780938800. Its totient is φ = 2011806720000.

The previous prime is 9681819839969. The next prime is 9681819840047. The reversal of 9681819840000 is 489181869.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (4200).

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 polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 880165439995 + ... + 880165440005.

It is an arithmetic number, because the mean of its divisors is an integer number (11061376414).

Almost surely, 2^{9681819840000} is an apocalyptic number.

9681819840000 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 9681819840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23228890469400).

9681819840000 is an abundant number, since it is smaller than the sum of its proper divisors (36775961098800).

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

9681819840000 is an frugal number, since it uses more digits than its factorization.

9681819840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 9681819840000 in words is "nine trillion, six hundred eighty-one billion, eight hundred nineteen million, eight hundred forty thousand".