9468041800 has 192 divisors, whose sum is σ = 26459020800. Its totient is φ = 3082060800.

The previous prime is 9468041797. The next prime is 9468041813. The reversal of 9468041800 is 81408649.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 2474689 + ... + 2478511.

It is an arithmetic number, because the mean of its divisors is an integer number (137807400).

Almost surely, 2^9468041800 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 9468041800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13229510400).

9468041800 is an abundant number, since it is smaller than the sum of its proper divisors (16990979000).

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

9468041800 is a wasteful number, since it uses less digits than its factorization.

9468041800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 9468041800 is about 97303.8632326590. The cubic root of 9468041800 is about 2115.5342241160.

The spelling of 9468041800 in words is "nine billion, four hundred sixty-eight million, forty-one thousand, eight hundred".