4875625440 has 576 divisors, whose sum is σ = 20518686720. Its totient is φ = 1077027840.

The previous prime is 4875625429. The next prime is 4875625441. The reversal of 4875625440 is 445265784.

4875625440 is a `hidden beast` number, since 4 + 87 + 562 + 5 + 4 + 4 + 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 not an unprimeable number, because it can be changed into a prime (4875625441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6561709 + ... + 6562451.

It is an arithmetic number, because the mean of its divisors is an integer number (35622720).

Almost surely, 2^4875625440 is an apocalyptic number.

4875625440 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 4875625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10259343360).

4875625440 is an abundant number, since it is smaller than the sum of its proper divisors (15643061280).

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

4875625440 is a wasteful number, since it uses less digits than its factorization.

4875625440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 4875625440 is about 69825.6789440676. The cubic root of 4875625440 is about 1695.6782312024.

The spelling of 4875625440 in words is "four billion, eight hundred seventy-five million, six hundred twenty-five thousand, four hundred forty".