4683663864 has 128 divisors (see below), whose sum is σ = 14539392000. Its totient is φ = 1384646400.

The previous prime is 4683663841. The next prime is 4683663869.

4683663864 is nontrivially palindromic in base 10.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 4683663864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4683663869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73377 + ... + 121455.

It is an arithmetic number, because the mean of its divisors is an integer number (113589000).

Almost surely, 2^4683663864 is an apocalyptic number.

4683663864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4683663864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7269696000).

4683663864 is an abundant number, since it is smaller than the sum of its proper divisors (9855728136).

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

4683663864 is a wasteful number, since it uses less digits than its factorization.

4683663864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48146 (or 48136 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The square root of 4683663864 is about 68437.2987777864. The cubic root of 4683663864 is about 1673.1257109037.

The spelling of 4683663864 in words is "four billion, six hundred eighty-three million, six hundred sixty-three thousand, eight hundred sixty-four".