8983780560 has 480 divisors, whose sum is σ = 33342865920. Its totient is φ = 2158313472.

The previous prime is 8983780541. The next prime is 8983780567. The reversal of 8983780560 is 650873898.

It is a happy number.

8983780560 is a `hidden beast` number, since 8 + 9 + 8 + 3 + 78 + 0 + 560 = 666.

8983780560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 8983780497 and 8983780506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8983780567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37588921 + ... + 37589159.

It is an arithmetic number, because the mean of its divisors is an integer number (69464304).

Almost surely, 2^8983780560 is an apocalyptic number.

8983780560 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 8983780560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16671432960).

8983780560 is an abundant number, since it is smaller than the sum of its proper divisors (24359085360).

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

8983780560 is a wasteful number, since it uses less digits than its factorization.

8983780560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 8983780560 is about 94782.8073017464. The cubic root of 8983780560 is about 2078.8335237168.

The spelling of 8983780560 in words is "eight billion, nine hundred eighty-three million, seven hundred eighty thousand, five hundred sixty".