9738168848640 has 576 divisors, whose sum is σ = 37062229881600. Its totient is φ = 2413742063616.

The previous prime is 9738168848627. The next prime is 9738168848647. The reversal of 9738168848640 is 468488618379.

9738168848640 is a `hidden beast` number, since 9 + 7 + 3 + 81 + 68 + 8 + 486 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (9738168848647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34662012 + ... + 34941828.

It is an arithmetic number, because the mean of its divisors is an integer number (64344149100).

Almost surely, 2^{9738168848640} is an apocalyptic number.

9738168848640 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 9738168848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18531114940800).

9738168848640 is an abundant number, since it is smaller than the sum of its proper divisors (27324061032960).

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

9738168848640 is a wasteful number, since it uses less digits than its factorization.

9738168848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279919 (or 279899 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 9738168848640 in words is "nine trillion, seven hundred thirty-eight billion, one hundred sixty-eight million, eight hundred forty-eight thousand, six hundred forty".