9830482329600 has 1215 divisors, whose sum is σ = 37337277821389. Its totient is φ = 2472168652800.

The previous prime is 9830482329583. The next prime is 9830482329611. The reversal of 9830482329600 is 69232840389.

It is a happy number.

The square root of 9830482329600 is 3135360.

It is a perfect power (a square), and thus also a powerful number.

9830482329600 is a `hidden beast` number, since 9 + 8 + 3 + 0 + 4 + 8 + 2 + 3 + 29 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3538973638656 + 6291508690944 = 1881216^2 + 2508288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 138457497565 + ... + 138457497635.

Almost surely, 2^{9830482329600} is an apocalyptic number.

9830482329600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9830482329600 is the 3135360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9830482329600

9830482329600 is an abundant number, since it is smaller than the sum of its proper divisors (27506795491789).

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

9830482329600 is an equidigital number, since it uses as much as digits as its factorization.

9830482329600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 9830482329600 in words is "nine trillion, eight hundred thirty billion, four hundred eighty-two million, three hundred twenty-nine thousand, six hundred".