9825604800 has 336 divisors, whose sum is σ = 35675645184. Its totient is φ = 2347520000.

The previous prime is 9825604799. The next prime is 9825604847. The reversal of 9825604800 is 84065289.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3747490 + ... + 3750110.

Almost surely, 2^9825604800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9825604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837822592).

9825604800 is an abundant number, since it is smaller than the sum of its proper divisors (25850040384).

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

9825604800 is a wasteful number, since it uses less digits than its factorization.

9825604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 9825604800 is about 99124.1887734775. The cubic root of 9825604800 is about 2141.8370692807.

The spelling of 9825604800 in words is "nine billion, eight hundred twenty-five million, six hundred four thousand, eight hundred".