4604608800864 has 36 divisors (see below), whose sum is σ = 13094356278276. Its totient is φ = 1534869600192.

The previous prime is 4604608800853. The next prime is 4604608800931. The reversal of 4604608800864 is 4680088064064.

4604608800864 is a `hidden beast` number, since 46 + 0 + 460 + 8 + 80 + 0 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4604608800864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7994112214 + ... + 7994112789.

It is an arithmetic number, because the mean of its divisors is an integer number (363732118841).

Almost surely, 2^{4604608800864} is an apocalyptic number.

It is an amenable number.

4604608800864 is an abundant number, since it is smaller than the sum of its proper divisors (8489747477412).

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

4604608800864 is a wasteful number, since it uses less digits than its factorization.

4604608800864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15988225019 (or 15988225008 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 4604608800864 in words is "four trillion, six hundred four billion, six hundred eight million, eight hundred thousand, eight hundred sixty-four".