8679444480 has 702 divisors, whose sum is σ = 36162265698. Its totient is φ = 1919877120.

The previous prime is 8679444463. The next prime is 8679444493. The reversal of 8679444480 is 844449768.

It can be written as a sum of positive squares in only one way, i.e., 6943555584 + 1735888896 = 83328^2 + 41664^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 279982065 + ... + 279982095.

It is an arithmetic number, because the mean of its divisors is an integer number (51513199).

Almost surely, 2^8679444480 is an apocalyptic number.

8679444480 is a gapful number since it is divisible by the number (80) 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 8679444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18081132849).

8679444480 is an abundant number, since it is smaller than the sum of its proper divisors (27482821218).

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

8679444480 is a wasteful number, since it uses less digits than its factorization.

8679444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 8679444480 is about 93163.5362145512. The cubic root of 8679444480 is about 2055.0890401329.

The spelling of 8679444480 in words is "eight billion, six hundred seventy-nine million, four hundred forty-four thousand, four hundred eighty".