9684820897920 has 2304 divisors, whose sum is σ = 42388804224000. Its totient is φ = 2034924208128.

The previous prime is 9684820897919. The next prime is 9684820897937. The reversal of 9684820897920 is 297980284869.

9684820897920 is a `hidden beast` number, since 9 + 68 + 482 + 0 + 89 + 7 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 287 ways as a sum of consecutive naturals, for example, 26389157577 + ... + 26389157943.

It is an arithmetic number, because the mean of its divisors is an integer number (18397918500).

Almost surely, 2^{9684820897920} is an apocalyptic number.

9684820897920 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 9684820897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21194402112000).

9684820897920 is an abundant number, since it is smaller than the sum of its proper divisors (32703983326080).

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

9684820897920 is a wasteful number, since it uses less digits than its factorization.

9684820897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 9684820897920 in words is "nine trillion, six hundred eighty-four billion, eight hundred twenty million, eight hundred ninety-seven thousand, nine hundred twenty".