9819060768000 has 864 divisors, whose sum is σ = 40572701769600. Its totient is φ = 2255081472000.

The previous prime is 9819060767951. The next prime is 9819060768007. The reversal of 9819060768000 is 8670609189.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9819060768007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60110436 + ... + 60273564.

Almost surely, 2^{9819060768000} is an apocalyptic number.

9819060768000 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 9819060768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20286350884800).

9819060768000 is an abundant number, since it is smaller than the sum of its proper divisors (30753641001600).

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

9819060768000 is a wasteful number, since it uses less digits than its factorization.

9819060768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163196 (or 163169 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 9819060768000 in words is "nine trillion, eight hundred nineteen billion, sixty million, seven hundred sixty-eight thousand".