4788748800 has 360 divisors, whose sum is σ = 18700521840. Its totient is φ = 1160601600.

The previous prime is 4788748781. The next prime is 4788748829. The reversal of 4788748800 is 88478874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1265311 + ... + 1269089.

It is an arithmetic number, because the mean of its divisors is an integer number (51945894).

Almost surely, 2^4788748800 is an apocalyptic number.

4788748800 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 4788748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9350260920).

4788748800 is an abundant number, since it is smaller than the sum of its proper divisors (13911773040).

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

4788748800 is a wasteful number, since it uses less digits than its factorization.

4788748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The square root of 4788748800 is about 69200.7861227024. The cubic root of 4788748800 is about 1685.5462953482.

The spelling of 4788748800 in words is "four billion, seven hundred eighty-eight million, seven hundred forty-eight thousand, eight hundred".