4663882883664 has 60 divisors (see below), whose sum is σ = 13054079812800. Its totient is φ = 1554426891072.

The previous prime is 4663882883659. The next prime is 4663882883687.

4663882883664 is a `hidden beast` number, since 466 + 3 + 8 + 8 + 28 + 83 + 6 + 64 = 666.

4663882883664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 = 4663882883592 and 4663882883601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 969834 + ... + 3204425.

It is an arithmetic number, because the mean of its divisors is an integer number (217567996880).

Almost surely, 2^{4663882883664} is an apocalyptic number.

It is an amenable number.

4663882883664 is an abundant number, since it is smaller than the sum of its proper divisors (8390196929136).

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

4663882883664 is a wasteful number, since it uses less digits than its factorization.

4663882883664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182032 (or 4182023 counting only the distinct ones).

The product of its digits is 1528823808, while the sum is 72.

The spelling of 4663882883664 in words is "four trillion, six hundred sixty-three billion, eight hundred eighty-two million, eight hundred eighty-three thousand, six hundred sixty-four".