4668716800 has 432 divisors, whose sum is σ = 13796116992. Its totient is φ = 1545011200.

The previous prime is 4668716779. The next prime is 4668716809. The reversal of 4668716800 is 86178664.

It is a happy number.

It is a super-3 number, since 3×4668716800³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4668716809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56249559 + ... + 56249641.

It is an arithmetic number, because the mean of its divisors is an integer number (31935456).

Almost surely, 2^4668716800 is an apocalyptic number.

4668716800 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 4668716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898058496).

4668716800 is an abundant number, since it is smaller than the sum of its proper divisors (9127400192).

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

4668716800 is a wasteful number, since it uses less digits than its factorization.

4668716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 4668716800 is about 68328.0088982549. The cubic root of 4668716800 is about 1671.3439884285.

The spelling of 4668716800 in words is "four billion, six hundred sixty-eight million, seven hundred sixteen thousand, eight hundred".