9684820868400 has 1920 divisors, whose sum is σ = 38754605260800. Its totient is φ = 2286069350400.

The previous prime is 9684820868329. The next prime is 9684820868423. The reversal of 9684820868400 is 48680284869.

9684820868400 is a `hidden beast` number, since 96 + 8 + 4 + 82 + 0 + 8 + 68 + 400 = 666.

It is a super-2 number, since 2×9684820868400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41565754684 + ... + 41565754916.

It is an arithmetic number, because the mean of its divisors is an integer number (20184690240).

Almost surely, 2^{9684820868400} is an apocalyptic number.

9684820868400 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 9684820868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19377302630400).

9684820868400 is an abundant number, since it is smaller than the sum of its proper divisors (29069784392400).

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

9684820868400 is a wasteful number, since it uses less digits than its factorization.

9684820868400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 9684820868400 in words is "nine trillion, six hundred eighty-four billion, eight hundred twenty million, eight hundred sixty-eight thousand, four hundred".