9681819840 has 1176 divisors, whose sum is σ = 44308471200. Its totient is φ = 2011806720.

The previous prime is 9681819811. The next prime is 9681819857. The reversal of 9681819840 is 489181869.

It is a tau number, because it is divible by the number of its divisors (1176).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 880165435 + ... + 880165445.

Almost surely, 2^9681819840 is an apocalyptic number.

9681819840 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 9681819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22154235600).

9681819840 is an abundant number, since it is smaller than the sum of its proper divisors (34626651360).

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

9681819840 is an equidigital number, since it uses as much as digits as its factorization.

9681819840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

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

The square root of 9681819840 is about 98396.2389525128. The cubic root of 9681819840 is about 2131.3380206450.

The spelling of 9681819840 in words is "nine billion, six hundred eighty-one million, eight hundred nineteen thousand, eight hundred forty".