4686446864 has 80 divisors (see below), whose sum is σ = 10349605440. Its totient is φ = 2036160000.

The previous prime is 4686446839. The next prime is 4686446867.

4686446864 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4686446867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510959 + ... + 520049.

It is an arithmetic number, because the mean of its divisors is an integer number (129370068).

Almost surely, 2^4686446864 is an apocalyptic number.

4686446864 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 4686446864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174802720).

4686446864 is an abundant number, since it is smaller than the sum of its proper divisors (5663158576).

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

4686446864 is a wasteful number, since it uses less digits than its factorization.

4686446864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9240 (or 9234 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 56.

The square root of 4686446864 is about 68457.6282382029. The cubic root of 4686446864 is about 1673.4570317844.

The spelling of 4686446864 in words is "four billion, six hundred eighty-six million, four hundred forty-six thousand, eight hundred sixty-four".