9738006727680 has 2464 divisors, whose sum is σ = 45115709165568. Its totient is φ = 1956416716800.

The previous prime is 9738006727637. The next prime is 9738006727723. The reversal of 9738006727680 is 867276008379.

It is an interprime number because it is at equal distance from previous prime (9738006727637) and next prime (9738006727723).

It is a tau number, because it is divible by the number of its divisors (2464).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 223 ways as a sum of consecutive naturals, for example, 8909429214 + ... + 8909430306.

Almost surely, 2^{9738006727680} is an apocalyptic number.

9738006727680 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 9738006727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22557854582784).

9738006727680 is an abundant number, since it is smaller than the sum of its proper divisors (35377702437888).

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

9738006727680 is a wasteful number, since it uses less digits than its factorization.

9738006727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 9738006727680 in words is "nine trillion, seven hundred thirty-eight billion, six million, seven hundred twenty-seven thousand, six hundred eighty".