4875932160 has 640 divisors, whose sum is σ = 19409829120. Its totient is φ = 1159741440.

The previous prime is 4875932137. The next prime is 4875932177. The reversal of 4875932160 is 612395784.

4875932160 is a `hidden beast` number, since 48 + 7 + 593 + 2 + 16 + 0 = 666.

4875932160 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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

4875932160 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91998694 + ... + 91998746.

It is an arithmetic number, because the mean of its divisors is an integer number (30327858).

It is a 2-persistent number, because it is pandigital, and so is 2⋅4875932160 = 9751864320, but 3⋅4875932160 = 14627796480 is not.

Almost surely, 2^4875932160 is an apocalyptic number.

4875932160 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 4875932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9704914560).

4875932160 is an abundant number, since it is smaller than the sum of its proper divisors (14533896960).

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

4875932160 is an equidigital number, since it uses as much as digits as its factorization.

4875932160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4875932160 is about 69827.8752361834. The cubic root of 4875932160 is about 1695.7137881805.

The spelling of 4875932160 in words is "four billion, eight hundred seventy-five million, nine hundred thirty-two thousand, one hundred sixty".