4623009664 has 288 divisors, whose sum is σ = 12123934200. Its totient is φ = 1739888640.

The previous prime is 4623009647. The next prime is 4623009689. The reversal of 4623009664 is 4669003264.

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 35 ways as a sum of consecutive naturals, for example, 78356067 + ... + 78356125.

Almost surely, 2^4623009664 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 4623009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6061967100).

4623009664 is an abundant number, since it is smaller than the sum of its proper divisors (7500924536).

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

4623009664 is a wasteful number, since it uses less digits than its factorization.

4623009664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The square root of 4623009664 is about 67992.7177277096. The cubic root of 4623009664 is about 1665.8718918512.

The spelling of 4623009664 in words is "four billion, six hundred twenty-three million, nine thousand, six hundred sixty-four".