9816422400 has 504 divisors, whose sum is σ = 36630233640. Its totient is φ = 2607759360.

The previous prime is 9816422359. The next prime is 9816422411. The reversal of 9816422400 is 42246189.

9816422400 is a `hidden beast` number, since 9 + 8 + 1 + 642 + 2 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 41 ways as a sum of consecutive naturals, for example, 37324669 + ... + 37324931.

It is an arithmetic number, because the mean of its divisors is an integer number (72679035).

Almost surely, 2^9816422400 is an apocalyptic number.

9816422400 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 9816422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18315116820).

9816422400 is an abundant number, since it is smaller than the sum of its proper divisors (26813811240).

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

9816422400 is an equidigital number, since it uses as much as digits as its factorization.

9816422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 9816422400 is about 99077.8602917927. The cubic root of 9816422400 is about 2141.1696520285.

Adding to 9816422400 its reverse (42246189), we get a palindrome (9858668589).

The spelling of 9816422400 in words is "nine billion, eight hundred sixteen million, four hundred twenty-two thousand, four hundred".