8781682560 has 256 divisors, whose sum is σ = 33095001600. Its totient is φ = 1937940480.

The previous prime is 8781682529. The next prime is 8781682579. The reversal of 8781682560 is 652861878.

It is a congruent number.

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, 378495 + ... + 401025.

It is an arithmetic number, because the mean of its divisors is an integer number (129277350).

Almost surely, 2^8781682560 is an apocalyptic number.

8781682560 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 8781682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547500800).

8781682560 is an abundant number, since it is smaller than the sum of its proper divisors (24313319040).

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

8781682560 is a wasteful number, since it uses less digits than its factorization.

8781682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22589 (or 22577 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The square root of 8781682560 is about 93710.6320542125. The cubic root of 8781682560 is about 2063.1267563711.

The spelling of 8781682560 in words is "eight billion, seven hundred eighty-one million, six hundred eighty-two thousand, five hundred sixty".