4688558864 has 40 divisors (see below), whose sum is σ = 10431490080. Its totient is φ = 2018995200.

The previous prime is 4688558783. The next prime is 4688558869.

4688558864 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4688558797 and 4688558806.

It is not an unprimeable number, because it can be changed into a prime (4688558869) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 697697 + ... + 704384.

It is an arithmetic number, because the mean of its divisors is an integer number (260787252).

Almost surely, 2^4688558864 is an apocalyptic number.

4688558864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4688558864 is an abundant number, since it is smaller than the sum of its proper divisors (5742931216).

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

4688558864 is a wasteful number, since it uses less digits than its factorization.

4688558864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402119 (or 1402113 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 62.

The square root of 4688558864 is about 68473.0521008082. The cubic root of 4688558864 is about 1673.7083814427.

The spelling of 4688558864 in words is "four billion, six hundred eighty-eight million, five hundred fifty-eight thousand, eight hundred sixty-four".