4873605120 has 312 divisors, whose sum is σ = 17104577256. Its totient is φ = 1283457024.

The previous prime is 4873605119. The next prime is 4873605151. The reversal of 4873605120 is 215063784.

4873605120 is a `hidden beast` number, since 4 + 87 + 3 + 60 + 512 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 253956096 + 4619649024 = 15936^2 + 67968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25251744 + ... + 25251936.

It is an arithmetic number, because the mean of its divisors is an integer number (54822363).

Almost surely, 2^4873605120 is an apocalyptic number.

4873605120 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 4873605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8552288628).

4873605120 is an abundant number, since it is smaller than the sum of its proper divisors (12230972136).

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

4873605120 is a wasteful number, since it uses less digits than its factorization.

4873605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4873605120 is about 69811.2105610553. The cubic root of 4873605120 is about 1695.4439852934.

The spelling of 4873605120 in words is "four billion, eight hundred seventy-three million, six hundred five thousand, one hundred twenty".