9814659664640 has 288 divisors, whose sum is σ = 24937315905600. Its totient is φ = 3694430781440.

The previous prime is 9814659664609. The next prime is 9814659664643. The reversal of 9814659664640 is 464669564189.

It is a super-2 number, since 2×9814659664640² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9814659664643) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1961752379 + ... + 1961757381.

It is an arithmetic number, because the mean of its divisors is an integer number (86587902450).

Almost surely, 2^{9814659664640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9814659664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12468657952800).

9814659664640 is an abundant number, since it is smaller than the sum of its proper divisors (15122656240960).

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

9814659664640 is a wasteful number, since it uses less digits than its factorization.

9814659664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6383 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 68.

The spelling of 9814659664640 in words is "nine trillion, eight hundred fourteen billion, six hundred fifty-nine million, six hundred sixty-four thousand, six hundred forty".