8882682480 has 320 divisors, whose sum is σ = 35097753600. Its totient is φ = 2022727680.

The previous prime is 8882682443. The next prime is 8882682509. The reversal of 8882682480 is 842862888.

8882682480 is a `hidden beast` number, since 8 + 8 + 82 + 6 + 82 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4701376 + ... + 4703264.

It is an arithmetic number, because the mean of its divisors is an integer number (109680480).

Almost surely, 2^8882682480 is an apocalyptic number.

8882682480 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 8882682480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548876800).

8882682480 is an abundant number, since it is smaller than the sum of its proper divisors (26215071120).

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

8882682480 is a wasteful number, since it uses less digits than its factorization.

8882682480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2217 counting only the distinct ones).

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

The square root of 8882682480 is about 94247.9839572179. The cubic root of 8882682480 is about 2071.0061061644.

The spelling of 8882682480 in words is "eight billion, eight hundred eighty-two million, six hundred eighty-two thousand, four hundred eighty".