9967488738768 has 240 divisors, whose sum is σ = 31573232308800. Its totient is φ = 3019004835840.

The previous prime is 9967488738761. The next prime is 9967488738793. The reversal of 9967488738768 is 8678378847699.

9967488738768 is a `hidden beast` number, since 9 + 9 + 67 + 488 + 7 + 3 + 8 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9967488738761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90998338 + ... + 91107806.

It is an arithmetic number, because the mean of its divisors is an integer number (131555134620).

Almost surely, 2^{9967488738768} 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 9967488738768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15786616154400).

9967488738768 is an abundant number, since it is smaller than the sum of its proper divisors (21605743570032).

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

9967488738768 is a wasteful number, since it uses less digits than its factorization.

9967488738768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111632 (or 111614 counting only the distinct ones).

The product of its digits is 49161240576, while the sum is 90.

The spelling of 9967488738768 in words is "nine trillion, nine hundred sixty-seven billion, four hundred eighty-eight million, seven hundred thirty-eight thousand, seven hundred sixty-eight".