9813606400 has 360 divisors, whose sum is σ = 27872920880. Its totient is φ = 3397386240.

The previous prime is 9813606391. The next prime is 9813606401. The reversal of 9813606400 is 46063189.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9813606400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9813606401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101171152 + ... + 101171248.

Almost surely, 2^9813606400 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 9813606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13936460440).

9813606400 is an abundant number, since it is smaller than the sum of its proper divisors (18059314480).

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

9813606400 is a wasteful number, since it uses less digits than its factorization.

9813606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 9813606400 is about 99063.6482267840. The cubic root of 9813606400 is about 2140.9648893650.

Adding to 9813606400 its reverse (46063189), we get a palindrome (9859669589).

The spelling of 9813606400 in words is "nine billion, eight hundred thirteen million, six hundred six thousand, four hundred".