4679708800 has 384 divisors, whose sum is σ = 13365394560. Its totient is φ = 1605795840.

The previous prime is 4679708767. The next prime is 4679708833. The reversal of 4679708800 is 88079764.

It is an interprime number because it is at equal distance from previous prime (4679708767) and next prime (4679708833).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64105564 + ... + 64105636.

It is an arithmetic number, because the mean of its divisors is an integer number (34805715).

Almost surely, 2^4679708800 is an apocalyptic number.

4679708800 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 4679708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6682697280).

4679708800 is an abundant number, since it is smaller than the sum of its proper divisors (8685685760).

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

4679708800 is a wasteful number, since it uses less digits than its factorization.

4679708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The square root of 4679708800 is about 68408.3971453797. The cubic root of 4679708800 is about 1672.6546279387.

The spelling of 4679708800 in words is "four billion, six hundred seventy-nine million, seven hundred eight thousand, eight hundred".