4678558764 has 96 divisors (see below), whose sum is σ = 12165189120. Its totient is φ = 1387584000.

The previous prime is 4678558751. The next prime is 4678558793.

4678558764 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4678558698 and 4678558707.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1184577 + ... + 1188519.

It is an arithmetic number, because the mean of its divisors is an integer number (126720720).

Almost surely, 2^4678558764 is an apocalyptic number.

4678558764 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 4678558764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082594560).

4678558764 is an abundant number, since it is smaller than the sum of its proper divisors (7486630356).

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

4678558764 is a wasteful number, since it uses less digits than its factorization.

4678558764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151 (or 4149 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 60.

The square root of 4678558764 is about 68399.9909649117. The cubic root of 4678558764 is about 1672.5175987120.

The spelling of 4678558764 in words is "four billion, six hundred seventy-eight million, five hundred fifty-eight thousand, seven hundred sixty-four".