4875089760 has 384 divisors, whose sum is σ = 17940787200. Its totient is φ = 1234759680.

The previous prime is 4875089759. The next prime is 4875089767. The reversal of 4875089760 is 679805784.

4875089760 is a `hidden beast` number, since 48 + 7 + 508 + 97 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4875089697 and 4875089706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4875089767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7900972 + ... + 7901588.

It is an arithmetic number, because the mean of its divisors is an integer number (46720800).

Almost surely, 2^4875089760 is an apocalyptic number.

4875089760 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 4875089760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8970393600).

4875089760 is an abundant number, since it is smaller than the sum of its proper divisors (13065697440).

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

4875089760 is a wasteful number, since it uses less digits than its factorization.

4875089760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 4875089760 is about 69821.8430005969. The cubic root of 4875089760 is about 1695.6161281146.

The spelling of 4875089760 in words is "four billion, eight hundred seventy-five million, eighty-nine thousand, seven hundred sixty".