9867818400 has 288 divisors, whose sum is σ = 36250804800. Its totient is φ = 2309529600.

The previous prime is 9867818393. The next prime is 9867818447. The reversal of 9867818400 is 48187689.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 759156 + ... + 772044.

It is an arithmetic number, because the mean of its divisors is an integer number (125870850).

Almost surely, 2^9867818400 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 9867818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18125402400).

9867818400 is an abundant number, since it is smaller than the sum of its proper divisors (26382986400).

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

9867818400 is a wasteful number, since it uses less digits than its factorization.

9867818400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12952 (or 12939 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 9867818400 is about 99336.8934485068. The cubic root of 9867818400 is about 2144.9000013151.

The spelling of 9867818400 in words is "nine billion, eight hundred sixty-seven million, eight hundred eighteen thousand, four hundred".