4575168000 has 720 divisors, whose sum is σ = 18223672896. Its totient is φ = 1102233600.

The previous prime is 4575167957. The next prime is 4575168029. The reversal of 4575168000 is 8615754.

4575168000 is a `hidden beast` number, since 4 + 575 + 1 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 97343977 + ... + 97344023.

Almost surely, 2^4575168000 is an apocalyptic number.

4575168000 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 4575168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9111836448).

4575168000 is an abundant number, since it is smaller than the sum of its proper divisors (13648504896).

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

4575168000 is a wasteful number, since it uses less digits than its factorization.

4575168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 4575168000 is about 67639.9881726779. The cubic root of 4575168000 is about 1660.1054754676.

The spelling of 4575168000 in words is "four billion, five hundred seventy-five million, one hundred sixty-eight thousand".