4872597120 has 768 divisors, whose sum is σ = 19648137600. Its totient is φ = 1146617856.

The previous prime is 4872597097. The next prime is 4872597151. The reversal of 4872597120 is 217952784.

It is a happy number.

4872597120 is a `hidden beast` number, since 48 + 7 + 2 + 597 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50232912 + ... + 50233008.

Almost surely, 2^4872597120 is an apocalyptic number.

4872597120 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 4872597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9824068800).

4872597120 is an abundant number, since it is smaller than the sum of its proper divisors (14775540480).

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

4872597120 is a wasteful number, since it uses less digits than its factorization.

4872597120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 4872597120 is about 69803.9907168637. The cubic root of 4872597120 is about 1695.3270885723.

The spelling of 4872597120 in words is "four billion, eight hundred seventy-two million, five hundred ninety-seven thousand, one hundred twenty".