4168684800 has 648 divisors, whose sum is σ = 17463118400. Its totient is φ = 948326400.

The previous prime is 4168684781. The next prime is 4168684811. The reversal of 4168684800 is 84868614.

4168684800 is a `hidden beast` number, since 4 + 168 + 6 + 8 + 480 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 19756695 + ... + 19756905.

Almost surely, 2^4168684800 is an apocalyptic number.

4168684800 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 4168684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8731559200).

4168684800 is an abundant number, since it is smaller than the sum of its proper divisors (13294433600).

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

4168684800 is a wasteful number, since it uses less digits than its factorization.

4168684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4168684800 is about 64565.3529379341. The cubic root of 4168684800 is about 1609.4087305841.

The spelling of 4168684800 in words is "four billion, one hundred sixty-eight million, six hundred eighty-four thousand, eight hundred".