4673566800 has 720 divisors, whose sum is σ = 20052764160. Its totient is φ = 984130560.

The previous prime is 4673566771. The next prime is 4673566817. The reversal of 4673566800 is 86653764.

4673566800 is a `hidden beast` number, since 4 + 6 + 7 + 3 + 566 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20588287 + ... + 20588513.

Almost surely, 2^4673566800 is an apocalyptic number.

4673566800 is a gapful number since it is divisible by the number (40) 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 4673566800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10026382080).

4673566800 is an abundant number, since it is smaller than the sum of its proper divisors (15379197360).

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

4673566800 is a wasteful number, since it uses less digits than its factorization.

4673566800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4673566800 is about 68363.4902561301. The cubic root of 4673566800 is about 1671.9225351960.

The spelling of 4673566800 in words is "four billion, six hundred seventy-three million, five hundred sixty-six thousand, eight hundred".