4509364608 has 384 divisors, whose sum is σ = 15593760000. Its totient is φ = 1270536192.

The previous prime is 4509364591. The next prime is 4509364637. The reversal of 4509364608 is 8064639054.

4509364608 is a `hidden beast` number, since 4 + 5 + 0 + 9 + 36 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 30264118 + ... + 30264266.

It is an arithmetic number, because the mean of its divisors is an integer number (40608750).

Almost surely, 2^4509364608 is an apocalyptic number.

4509364608 is a gapful number since it is divisible by the number (48) 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 4509364608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7796880000).

4509364608 is an abundant number, since it is smaller than the sum of its proper divisors (11084395392).

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

4509364608 is a wasteful number, since it uses less digits than its factorization.

4509364608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4509364608 is about 67151.8027159361. The cubic root of 4509364608 is about 1652.1080625882.

The spelling of 4509364608 in words is "four billion, five hundred nine million, three hundred sixty-four thousand, six hundred eight".