4575175920 has 640 divisors, whose sum is σ = 19107348480. Its totient is φ = 984130560.

The previous prime is 4575175903. The next prime is 4575175931. The reversal of 4575175920 is 295715754.

4575175920 is a `hidden beast` number, since 4 + 5 + 7 + 51 + 7 + 592 + 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 127 ways as a sum of consecutive naturals, for example, 20154847 + ... + 20155073.

It is an arithmetic number, because the mean of its divisors is an integer number (29855232).

Almost surely, 2^4575175920 is an apocalyptic number.

4575175920 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 4575175920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9553674240).

4575175920 is an abundant number, since it is smaller than the sum of its proper divisors (14532172560).

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

4575175920 is a wasteful number, since it uses less digits than its factorization.

4575175920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The square root of 4575175920 is about 67640.0467179023. The cubic root of 4575175920 is about 1660.1064333944.

The spelling of 4575175920 in words is "four billion, five hundred seventy-five million, one hundred seventy-five thousand, nine hundred twenty".