9630316800 has 540 divisors, whose sum is σ = 38373555220. Its totient is φ = 2368880640.

The previous prime is 9630316793. The next prime is 9630316807. The reversal of 9630316800 is 86130369.

It is a happy number.

9630316800 is a `hidden beast` number, since 9 + 630 + 3 + 16 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9630316793) and next prime (9630316807).

It can be written as a sum of positive squares in 6 ways, for example, as 3057647616 + 6572669184 = 55296^2 + 81072^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is not an unprimeable number, because it can be changed into a prime (9630316807) 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 59 ways as a sum of consecutive naturals, for example, 6738486 + ... + 6739914.

Almost surely, 2^9630316800 is an apocalyptic number.

9630316800 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 9630316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19186777610).

9630316800 is an abundant number, since it is smaller than the sum of its proper divisors (28743238420).

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

9630316800 is a wasteful number, since it uses less digits than its factorization.

9630316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9630316800 is about 98134.1775326007. The cubic root of 9630316800 is about 2127.5520379170.

The spelling of 9630316800 in words is "nine billion, six hundred thirty million, three hundred sixteen thousand, eight hundred".