8684282880 has 1056 divisors, whose sum is σ = 39341702400. Its totient is φ = 1719926784.

The previous prime is 8684282869. The next prime is 8684282903. The reversal of 8684282880 is 882824868.

It is a super-2 number, since 2×8684282880² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79672266 + ... + 79672374.

It is an arithmetic number, because the mean of its divisors is an integer number (37255400).

Almost surely, 2^8684282880 is an apocalyptic number.

8684282880 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 8684282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19670851200).

8684282880 is an abundant number, since it is smaller than the sum of its proper divisors (30657419520).

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

8684282880 is a wasteful number, since it uses less digits than its factorization.

8684282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The square root of 8684282880 is about 93189.4998376963. The cubic root of 8684282880 is about 2055.4708424380.

The spelling of 8684282880 in words is "eight billion, six hundred eighty-four million, two hundred eighty-two thousand, eight hundred eighty".