804606566400 has 2520 divisors, whose sum is σ = 3778599497904. Its totient is φ = 165622579200.

The previous prime is 804606566333. The next prime is 804606566431. The reversal of 804606566400 is 4665606408.

804606566400 is a `hidden beast` number, since 8 + 0 + 46 + 0 + 6 + 566 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 19624550380 + ... + 19624550420.

Almost surely, 2^804606566400 is an apocalyptic number.

804606566400 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 804606566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889299748952).

804606566400 is an abundant number, since it is smaller than the sum of its proper divisors (2973992931504).

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

804606566400 is a wasteful number, since it uses less digits than its factorization.

804606566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 804606566400 in words is "eight hundred four billion, six hundred six million, five hundred sixty-six thousand, four hundred".