9681755848704 has 675 divisors, whose sum is σ = 30140546074947. Its totient is φ = 3097014829056.

The previous prime is 9681755848537. The next prime is 9681755848711. The reversal of 9681755848704 is 4078485571869.

It is a happy number.

The square root of 9681755848704 is 3111552.

It is a perfect power (a square), and thus also a powerful number.

9681755848704 is a `hidden beast` number, since 9 + 68 + 1 + 7 + 558 + 4 + 8 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2415065186304 + 7266690662400 = 1554048^2 + 2695680^2 .

It is a super-4 number, since 4×9681755848704⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 132626792412 + ... + 132626792484.

Almost surely, 2^{9681755848704} is an apocalyptic number.

9681755848704 is the 3111552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9681755848704

9681755848704 is an abundant number, since it is smaller than the sum of its proper divisors (20458790226243).

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

9681755848704 is an frugal number, since it uses more digits than its factorization.

9681755848704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 72.

The spelling of 9681755848704 in words is "nine trillion, six hundred eighty-one billion, seven hundred fifty-five million, eight hundred forty-eight thousand, seven hundred four".