4516634304 has 224 divisors, whose sum is σ = 16342807040. Its totient is φ = 1191158784.

The previous prime is 4516634299. The next prime is 4516634329. The reversal of 4516634304 is 4034366154.

4516634304 is a `hidden beast` number, since 4 + 5 + 16 + 634 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142887 + ... + 171609.

It is an arithmetic number, because the mean of its divisors is an integer number (72958960).

Almost surely, 2^4516634304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4516634304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171403520).

4516634304 is an abundant number, since it is smaller than the sum of its proper divisors (11826172736).

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

4516634304 is a wasteful number, since it uses less digits than its factorization.

4516634304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28764 (or 28748 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4516634304 is about 67205.9097401412. The cubic root of 4516634304 is about 1652.9953919654.

The spelling of 4516634304 in words is "four billion, five hundred sixteen million, six hundred thirty-four thousand, three hundred four".