4806605664 has 96 divisors (see below), whose sum is σ = 16022039040. Its totient is φ = 1373314176.

The previous prime is 4806605627. The next prime is 4806605701. The reversal of 4806605664 is 4665066084.

4806605664 is a `hidden beast` number, since 4 + 80 + 6 + 6 + 0 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4806605627) and next prime (4806605701).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×4806605664³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391324 + ... + 403419.

It is an arithmetic number, because the mean of its divisors is an integer number (166896240).

Almost surely, 2^4806605664 is an apocalyptic number.

It is an amenable number.

4806605664 is an abundant number, since it is smaller than the sum of its proper divisors (11215433376).

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

4806605664 is a wasteful number, since it uses less digits than its factorization.

4806605664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794769 (or 794755 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4806605664 is about 69329.6881862309. The cubic root of 4806605664 is about 1687.6387860175.

The spelling of 4806605664 in words is "four billion, eight hundred six million, six hundred five thousand, six hundred sixty-four".