8094189600 has 1152 divisors, whose sum is σ = 36717649920. Its totient is φ = 1678786560.

The previous prime is 8094189599. The next prime is 8094189611. The reversal of 8094189600 is 69814908.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120808767 + ... + 120808833.

It is an arithmetic number, because the mean of its divisors is an integer number (31872960).

Almost surely, 2^8094189600 is an apocalyptic number.

8094189600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8094189600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18358824960).

8094189600 is an abundant number, since it is smaller than the sum of its proper divisors (28623460320).

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

8094189600 is a wasteful number, since it uses less digits than its factorization.

8094189600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 8094189600 is about 89967.7142090428. The cubic root of 8094189600 is about 2007.8185288085.

The spelling of 8094189600 in words is "eight billion, ninety-four million, one hundred eighty-nine thousand, six hundred".