4569009120 has 480 divisors, whose sum is σ = 17765371008. Its totient is φ = 1098842112.

The previous prime is 4569009113. The next prime is 4569009157. The reversal of 4569009120 is 219009654.

4569009120 is a `hidden beast` number, since 4 + 569 + 0 + 0 + 91 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7918272 + ... + 7918848.

Almost surely, 2^4569009120 is an apocalyptic number.

4569009120 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 4569009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8882685504).

4569009120 is an abundant number, since it is smaller than the sum of its proper divisors (13196361888).

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

4569009120 is a wasteful number, since it uses less digits than its factorization.

4569009120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 4569009120 is about 67594.4459256824. The cubic root of 4569009120 is about 1659.3602218353.

The spelling of 4569009120 in words is "four billion, five hundred sixty-nine million, nine thousand, one hundred twenty".