9730538357760 has 2112 divisors, whose sum is σ = 42064148206080. Its totient is φ = 2049190133760.

The previous prime is 9730538357747. The next prime is 9730538357797. The reversal of 9730538357760 is 677538350379.

9730538357760 is a `hidden beast` number, since 9 + 7 + 3 + 0 + 53 + 8 + 3 + 577 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5747511474 + ... + 5747513166.

It is an arithmetic number, because the mean of its divisors is an integer number (19916736840).

Almost surely, 2^{9730538357760} is an apocalyptic number.

9730538357760 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 9730538357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21032074103040).

9730538357760 is an abundant number, since it is smaller than the sum of its proper divisors (32333609848320).

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

9730538357760 is a wasteful number, since it uses less digits than its factorization.

9730538357760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 100018800, while the sum is 63.

The spelling of 9730538357760 in words is "nine trillion, seven hundred thirty billion, five hundred thirty-eight million, three hundred fifty-seven thousand, seven hundred sixty".