4738875120 has 960 divisors, whose sum is σ = 21058652160. Its totient is φ = 928972800.

The previous prime is 4738875077. The next prime is 4738875121. The reversal of 4738875120 is 215788374.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4738875121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66744685 + ... + 66744755.

It is an arithmetic number, because the mean of its divisors is an integer number (21936096).

Almost surely, 2^4738875120 is an apocalyptic number.

4738875120 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 4738875120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10529326080).

4738875120 is an abundant number, since it is smaller than the sum of its proper divisors (16319777040).

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

4738875120 is a wasteful number, since it uses less digits than its factorization.

4738875120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 4738875120 is about 68839.4880864174. The cubic root of 4738875120 is about 1679.6743416390.

The spelling of 4738875120 in words is "four billion, seven hundred thirty-eight million, eight hundred seventy-five thousand, one hundred twenty".