9657637920 has 288 divisors, whose sum is σ = 37744237440. Its totient is φ = 2202808320.

The previous prime is 9657637909. The next prime is 9657637921. The reversal of 9657637920 is 297367569.

9657637920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (9657637921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7670251 + ... + 7671509.

It is an arithmetic number, because the mean of its divisors is an integer number (131056380).

Almost surely, 2^9657637920 is an apocalyptic number.

9657637920 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 9657637920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18872118720).

9657637920 is an abundant number, since it is smaller than the sum of its proper divisors (28086599520).

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

9657637920 is a wasteful number, since it uses less digits than its factorization.

9657637920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The square root of 9657637920 is about 98273.2818216630. The cubic root of 9657637920 is about 2129.5620867910.

The spelling of 9657637920 in words is "nine billion, six hundred fifty-seven million, six hundred thirty-seven thousand, nine hundred twenty".