4807725120 has 672 divisors, whose sum is σ = 19514027520. Its totient is φ = 1073479680.

The previous prime is 4807725119. The next prime is 4807725127. The reversal of 4807725120 is 215277084.

It is a super-3 number, since 3×4807725120³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (4807725127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42546184 + ... + 42546296.

Almost surely, 2^4807725120 is an apocalyptic number.

4807725120 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 4807725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9757013760).

4807725120 is an abundant number, since it is smaller than the sum of its proper divisors (14706302400).

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

4807725120 is a wasteful number, since it uses less digits than its factorization.

4807725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 4807725120 is about 69337.7611406656. The cubic root of 4807725120 is about 1687.7697925842.

It can be divided in two parts, 4807 and 725120, that added together give a palindrome (729927).

The spelling of 4807725120 in words is "four billion, eight hundred seven million, seven hundred twenty-five thousand, one hundred twenty".