4686886864 has 80 divisors (see below), whose sum is σ = 10445492160. Its totient is φ = 2014848000.

The previous prime is 4686886811. The next prime is 4686886891.

4686886864 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4686886796 and 4686886805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3547324 + ... + 3548644.

It is an arithmetic number, because the mean of its divisors is an integer number (130568652).

Almost surely, 2^4686886864 is an apocalyptic number.

4686886864 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 4686886864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222746080).

4686886864 is an abundant number, since it is smaller than the sum of its proper divisors (5758605296).

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

4686886864 is a wasteful number, since it uses less digits than its factorization.

4686886864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2414 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 64.

The square root of 4686886864 is about 68460.8418294721. The cubic root of 4686886864 is about 1673.5094025230.

The spelling of 4686886864 in words is "four billion, six hundred eighty-six million, eight hundred eighty-six thousand, eight hundred sixty-four".