9748661760 has 240 divisors, whose sum is σ = 34854019200. Its totient is φ = 2515599360.

The previous prime is 9748661753. The next prime is 9748661761. The reversal of 9748661760 is 671668479.

It is a happy number.

9748661760 is a `hidden beast` number, since 97 + 486 + 6 + 1 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×9748661760³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 9748661697 and 9748661706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9748661761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707416 + ... + 721064.

It is an arithmetic number, because the mean of its divisors is an integer number (145225080).

Almost surely, 2^9748661760 is an apocalyptic number.

9748661760 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 9748661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17427009600).

9748661760 is an abundant number, since it is smaller than the sum of its proper divisors (25105357440).

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

9748661760 is a wasteful number, since it uses less digits than its factorization.

9748661760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13709 (or 13690 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 9748661760 is about 98735.3116164627. The cubic root of 9748661760 is about 2136.2315954750.

The spelling of 9748661760 in words is "nine billion, seven hundred forty-eight million, six hundred sixty-one thousand, seven hundred sixty".