4634066304 has 192 divisors, whose sum is σ = 15283476000. Its totient is φ = 1320247296.

The previous prime is 4634066273. The next prime is 4634066309. The reversal of 4634066304 is 4036604364.

4634066304 is a `hidden beast` number, since 4 + 6 + 340 + 6 + 6 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4634066309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4104012 + ... + 4105140.

Almost surely, 2^4634066304 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 4634066304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641738000).

4634066304 is an abundant number, since it is smaller than the sum of its proper divisors (10649409696).

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

4634066304 is a wasteful number, since it uses less digits than its factorization.

4634066304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 4634066304 is about 68073.9767018205. The cubic root of 4634066304 is about 1667.1988976112.

The spelling of 4634066304 in words is "four billion, six hundred thirty-four million, sixty-six thousand, three hundred four".