4787838720 has 504 divisors, whose sum is σ = 19677882336. Its totient is φ = 1092870144.

The previous prime is 4787838703. The next prime is 4787838721. The reversal of 4787838720 is 278387874.

It is a happy number.

4787838720 is a `hidden beast` number, since 478 + 78 + 3 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4787838721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531474 + ... + 6532206.

Almost surely, 2^4787838720 is an apocalyptic number.

4787838720 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 4787838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9838941168).

4787838720 is an abundant number, since it is smaller than the sum of its proper divisors (14890043616).

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

4787838720 is an frugal number, since it uses more digits than its factorization.

4787838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The square root of 4787838720 is about 69194.2101624117. The cubic root of 4787838720 is about 1685.4395117726.

The spelling of 4787838720 in words is "four billion, seven hundred eighty-seven million, eight hundred thirty-eight thousand, seven hundred twenty".