9722361600 has 324 divisors, whose sum is σ = 39726946896. Its totient is φ = 2222161920.

The previous prime is 9722361589. The next prime is 9722361667. The reversal of 9722361600 is 61632279.

9722361600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 391144 + ... + 415256.

Almost surely, 2^9722361600 is an apocalyptic number.

9722361600 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 9722361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19863473448).

9722361600 is an abundant number, since it is smaller than the sum of its proper divisors (30004585296).

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

9722361600 is a wasteful number, since it uses less digits than its factorization.

9722361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24152 (or 24130 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 9722361600 is about 98602.0364901253. The cubic root of 9722361600 is about 2134.3088073654.

Adding to 9722361600 its reverse (61632279), we get a palindrome (9783993879).

The spelling of 9722361600 in words is "nine billion, seven hundred twenty-two million, three hundred sixty-one thousand, six hundred".