8163409800 has 864 divisors, whose sum is σ = 33526068480. Its totient is φ = 1635379200.

The previous prime is 8163409799. The next prime is 8163409811. The reversal of 8163409800 is 89043618.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 154026574 + ... + 154026626.

It is an arithmetic number, because the mean of its divisors is an integer number (38803320).

Almost surely, 2^8163409800 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 8163409800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16763034240).

8163409800 is an abundant number, since it is smaller than the sum of its proper divisors (25362658680).

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

8163409800 is a wasteful number, since it uses less digits than its factorization.

8163409800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 8163409800 is about 90351.5899140685. The cubic root of 8163409800 is about 2013.5258034448.

The spelling of 8163409800 in words is "eight billion, one hundred sixty-three million, four hundred nine thousand, eight hundred".