9816808753440 has 1296 divisors, whose sum is σ = 38068663277736. Its totient is φ = 2300601139200.

The previous prime is 9816808753421. The next prime is 9816808753469. The reversal of 9816808753440 is 443578086189.

9816808753440 is a `hidden beast` number, since 9 + 8 + 1 + 68 + 0 + 87 + 53 + 440 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3623220882576 + 6193587870864 = 1903476^2 + 2488692^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 77297706657 + ... + 77297706783.

Almost surely, 2^{9816808753440} is an apocalyptic number.

9816808753440 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 9816808753440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19034331638868).

9816808753440 is an abundant number, since it is smaller than the sum of its proper divisors (28251854524296).

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

9816808753440 is a wasteful number, since it uses less digits than its factorization.

9816808753440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 9816808753440 in words is "nine trillion, eight hundred sixteen billion, eight hundred eight million, seven hundred fifty-three thousand, four hundred forty".