4576144320 has 672 divisors, whose sum is σ = 18872118720. Its totient is φ = 1004666880.

The previous prime is 4576144301. The next prime is 4576144369. The reversal of 4576144320 is 234416754.

4576144320 is a `hidden beast` number, since 4 + 5 + 7 + 614 + 4 + 32 + 0 = 666.

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, 15618094 + ... + 15618386.

It is an arithmetic number, because the mean of its divisors is an integer number (28083510).

Almost surely, 2^4576144320 is an apocalyptic number.

4576144320 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 4576144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9436059360).

4576144320 is an abundant number, since it is smaller than the sum of its proper divisors (14295974400).

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

4576144320 is a wasteful number, since it uses less digits than its factorization.

4576144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4576144320 is about 67647.2048203028. The cubic root of 4576144320 is about 1660.2235533831.

The spelling of 4576144320 in words is "four billion, five hundred seventy-six million, one hundred forty-four thousand, three hundred twenty".