9648230400 has 702 divisors, whose sum is σ = 37730121390. Its totient is φ = 2353397760.

The previous prime is 9648230363. The next prime is 9648230437. The reversal of 9648230400 is 40328469.

It is a happy number.

9648230400 is a `hidden beast` number, since 9 + 648 + 2 + 3 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9648230363) and next prime (9648230437).

It can be written as a sum of positive squares in 3 ways, for example, as 652087296 + 8996143104 = 25536^2 + 94848^2 .

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 53 ways as a sum of consecutive naturals, for example, 332697586 + ... + 332697614.

Almost surely, 2^9648230400 is an apocalyptic number.

9648230400 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 9648230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18865060695).

9648230400 is an abundant number, since it is smaller than the sum of its proper divisors (28081890990).

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

9648230400 is a wasteful number, since it uses less digits than its factorization.

9648230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 9648230400 is about 98225.4060821334. The cubic root of 9648230400 is about 2128.8703922439.

Adding to 9648230400 its reverse (40328469), we get a palindrome (9688558869).

The spelling of 9648230400 in words is "nine billion, six hundred forty-eight million, two hundred thirty thousand, four hundred".