4785388800 has 216 divisors, whose sum is σ = 16180631040. Its totient is φ = 1244774400.

The previous prime is 4785388789. The next prime is 4785388807. The reversal of 4785388800 is 88835874.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4785388807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784161 + ... + 790239.

Almost surely, 2^4785388800 is an apocalyptic number.

4785388800 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 4785388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090315520).

4785388800 is an abundant number, since it is smaller than the sum of its proper divisors (11395242240).

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

4785388800 is a wasteful number, since it uses less digits than its factorization.

4785388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6149 (or 6130 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The square root of 4785388800 is about 69176.5046818643. The cubic root of 4785388800 is about 1685.1519849289.

The spelling of 4785388800 in words is "four billion, seven hundred eighty-five million, three hundred eighty-eight thousand, eight hundred".