4676716800 has 486 divisors, whose sum is σ = 19461904098. Its totient is φ = 1068318720.

The previous prime is 4676716777. The next prime is 4676716801. The reversal of 4676716800 is 86176764.

It can be written as a sum of positive squares in 3 ways, for example, as 115605504 + 4561111296 = 10752^2 + 67536^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4676716801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2821572 + ... + 2823228.

Almost surely, 2^4676716800 is an apocalyptic number.

4676716800 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 4676716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9730952049).

4676716800 is an abundant number, since it is smaller than the sum of its proper divisors (14785187298).

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

4676716800 is a wasteful number, since it uses less digits than its factorization.

4676716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4676716800 is about 68386.5249884800. The cubic root of 4676716800 is about 1672.2980780044.

The spelling of 4676716800 in words is "four billion, six hundred seventy-six million, seven hundred sixteen thousand, eight hundred".