4788940800 has 624 divisors, whose sum is σ = 19306121472. Its totient is φ = 1022361600.

The previous prime is 4788940759. The next prime is 4788940801. The reversal of 4788940800 is 80498874.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4788940800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4788940801) 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, 36556735 + ... + 36556865.

Almost surely, 2^4788940800 is an apocalyptic number.

4788940800 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 4788940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9653060736).

4788940800 is an abundant number, since it is smaller than the sum of its proper divisors (14517180672).

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

4788940800 is a wasteful number, since it uses less digits than its factorization.

4788940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 4788940800 is about 69202.1733762748. The cubic root of 4788940800 is about 1685.5688218004.

The spelling of 4788940800 in words is "four billion, seven hundred eighty-eight million, nine hundred forty thousand, eight hundred".