9885680640 has 660 divisors, whose sum is σ = 39135536748. Its totient is φ = 2384363520.

The previous prime is 9885680611. The next prime is 9885680653. The reversal of 9885680640 is 460865889.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7316407296 + 2569273344 = 85536^2 + 50688^2 .

It is a tau number, because it is divible by the number of its divisors (660).

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 59 ways as a sum of consecutive naturals, for example, 50181022 + ... + 50181218.

Almost surely, 2^9885680640 is an apocalyptic number.

9885680640 is a gapful number since it is divisible by the number (90) 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 9885680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19567768374).

9885680640 is an abundant number, since it is smaller than the sum of its proper divisors (29249856108).

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

9885680640 is a wasteful number, since it uses less digits than its factorization.

9885680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 9885680640 is about 99426.7601805470. The cubic root of 9885680640 is about 2146.1934187319.

The spelling of 9885680640 in words is "nine billion, eight hundred eighty-five million, six hundred eighty thousand, six hundred forty".