804094668000 has 1536 divisors, whose sum is σ = 3399953356800. Its totient is φ = 182891520000.

The previous prime is 804094667989. The next prime is 804094668007. The reversal of 804094668000 is 866490408.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804094668007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1147067650 + ... + 1147068350.

It is an arithmetic number, because the mean of its divisors is an integer number (2213511300).

Almost surely, 2^804094668000 is an apocalyptic number.

804094668000 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 804094668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699976678400).

804094668000 is an abundant number, since it is smaller than the sum of its proper divisors (2595858688800).

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

804094668000 is a wasteful number, since it uses less digits than its factorization.

804094668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 804094668000 in words is "eight hundred four billion, ninety-four million, six hundred sixty-eight thousand".