8684981760 has 960 divisors, whose sum is σ = 37144622592. Its totient is φ = 1684537344.

The previous prime is 8684981759. The next prime is 8684981791. The reversal of 8684981760 is 671894868.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 8684981760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201976299 + ... + 201976341.

Almost surely, 2^8684981760 is an apocalyptic number.

8684981760 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 8684981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18572311296).

8684981760 is an abundant number, since it is smaller than the sum of its proper divisors (28459640832).

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

8684981760 is a wasteful number, since it uses less digits than its factorization.

8684981760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The square root of 8684981760 is about 93193.2495409405. The cubic root of 8684981760 is about 2055.5259799375.

The spelling of 8684981760 in words is "eight billion, six hundred eighty-four million, nine hundred eighty-one thousand, seven hundred sixty".