9968214896640 has 5824 divisors, whose sum is σ = 51980458199040. Its totient is φ = 1765791498240.

The previous prime is 9968214896593. The next prime is 9968214896701. The reversal of 9968214896640 is 466984128699.

9968214896640 is a `hidden beast` number, since 9 + 9 + 6 + 82 + 1 + 489 + 6 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5824).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 343731548146 + ... + 343731548174.

Almost surely, 2^{9968214896640} is an apocalyptic number.

9968214896640 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 9968214896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25990229099520).

9968214896640 is an abundant number, since it is smaller than the sum of its proper divisors (42012243302400).

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

9968214896640 is a wasteful number, since it uses less digits than its factorization.

9968214896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 9968214896640 in words is "nine trillion, nine hundred sixty-eight billion, two hundred fourteen million, eight hundred ninety-six thousand, six hundred forty".