4875032160 has 576 divisors, whose sum is σ = 18718801920. Its totient is φ = 1149603840.

The previous prime is 4875032087. The next prime is 4875032191. The reversal of 4875032160 is 612305784.

It is a super-2 number, since 2×4875032160² = 47531877122068531200, which contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38386017 + ... + 38386143.

It is an arithmetic number, because the mean of its divisors is an integer number (32497920).

Almost surely, 2^4875032160 is an apocalyptic number.

4875032160 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 4875032160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359400960).

4875032160 is an abundant number, since it is smaller than the sum of its proper divisors (13843769760).

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

4875032160 is a wasteful number, since it uses less digits than its factorization.

4875032160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 240 counting only the distinct ones).

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

The square root of 4875032160 is about 69821.4305210084. The cubic root of 4875032160 is about 1695.6094500924.

The spelling of 4875032160 in words is "four billion, eight hundred seventy-five million, thirty-two thousand, one hundred sixty".