4663648463664 has 320 divisors, whose sum is σ = 12848117667840. Its totient is φ = 1455621120000.

The previous prime is 4663648463609. The next prime is 4663648463711.

It is a happy number.

4663648463664 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4663648463595 and 4663648463604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2287222357 + ... + 2287224395.

It is an arithmetic number, because the mean of its divisors is an integer number (40150367712).

Almost surely, 2^{4663648463664} 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 4663648463664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6424058833920).

4663648463664 is an abundant number, since it is smaller than the sum of its proper divisors (8184469204176).

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

4663648463664 is a wasteful number, since it uses less digits than its factorization.

4663648463664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2534 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 66.

The spelling of 4663648463664 in words is "four trillion, six hundred sixty-three billion, six hundred forty-eight million, four hundred sixty-three thousand, six hundred sixty-four".