4665600065664 has 512 divisors, whose sum is σ = 14800081190400. Its totient is φ = 1443157917696.

The previous prime is 4665600065603. The next prime is 4665600065669.

4665600065664 is a `hidden beast` number, since 466 + 5 + 60 + 0 + 0 + 65 + 6 + 64 = 666.

4665600065664 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4665600065664² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4665600065664.

It is not an unprimeable number, because it can be changed into a prime (4665600065669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1097011762 + ... + 1097016014.

It is an arithmetic number, because the mean of its divisors is an integer number (28906408575).

Almost surely, 2^{4665600065664} 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 4665600065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7400040595200).

4665600065664 is an abundant number, since it is smaller than the sum of its proper divisors (10134481124736).

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

4665600065664 is a wasteful number, since it uses less digits than its factorization.

4665600065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4709 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 4665600065664 in words is "four trillion, six hundred sixty-five billion, six hundred million, sixty-five thousand, six hundred sixty-four".