9609840000 has 400 divisors, whose sum is σ = 35761068420. Its totient is φ = 2560896000.

The previous prime is 9609839983. The next prime is 9609840017. The reversal of 9609840000 is 489069.

9609840000 is a `hidden beast` number, since 9 + 609 + 8 + 40 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9609839983) and next prime (9609840017).

It is a tau number, because it is divible by the number of its divisors (400).

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 (13) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6479259 + ... + 6480741.

Almost surely, 2^9609840000 is an apocalyptic number.

9609840000 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 9609840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17880534210).

9609840000 is an abundant number, since it is smaller than the sum of its proper divisors (26151228420).

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

9609840000 is an equidigital number, since it uses as much as digits as its factorization.

9609840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9609840000 is about 98029.7913901687. The cubic root of 9609840000 is about 2126.0430404274.

The spelling of 9609840000 in words is "nine billion, six hundred nine million, eight hundred forty thousand".