4665034305664 has 64 divisors (see below), whose sum is σ = 9446942153880. Its totient is φ = 2294044876800.

The previous prime is 4665034305643. The next prime is 4665034305683.

4665034305664 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 3976067904064 + 688966401600 = 1994008^2 + 830040^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95647044 + ... + 95695804.

Almost surely, 2^{4665034305664} 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 4665034305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723471076940).

4665034305664 is an abundant number, since it is smaller than the sum of its proper divisors (4781907848216).

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

4665034305664 is a wasteful number, since it uses less digits than its factorization.

4665034305664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61089 (or 61077 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 52.

The spelling of 4665034305664 in words is "four trillion, six hundred sixty-five billion, thirty-four million, three hundred five thousand, six hundred sixty-four".