9820456800 has 432 divisors, whose sum is σ = 40163429376. Its totient is φ = 2040192000.

The previous prime is 9820456781. The next prime is 9820456801. The reversal of 9820456800 is 86540289.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9820456801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2030385 + ... + 2035215.

Almost surely, 2^9820456800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9820456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20081714688).

9820456800 is an abundant number, since it is smaller than the sum of its proper divisors (30342972576).

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

9820456800 is a wasteful number, since it uses less digits than its factorization.

9820456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4883 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 9820456800 is about 99098.2179456321. The cubic root of 9820456800 is about 2141.4629412179.

The spelling of 9820456800 in words is "nine billion, eight hundred twenty million, four hundred fifty-six thousand, eight hundred".