9745781760000 has 4480 divisors, whose sum is σ = 46430942342400. Its totient is φ = 1981808640000.

The previous prime is 9745781759977. The next prime is 9745781760023. The reversal of 9745781760000 is 671875479.

9745781760000 is a `hidden beast` number, since 9 + 7 + 4 + 578 + 1 + 7 + 60 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9745781759977) and next prime (9745781760023).

It is a super-2 number, since 2×9745781760000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 336061439986 + ... + 336061440014.

It is an arithmetic number, because the mean of its divisors is an integer number (10364049630).

Almost surely, 2^{9745781760000} is an apocalyptic number.

9745781760000 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 9745781760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23215471171200).

9745781760000 is an abundant number, since it is smaller than the sum of its proper divisors (36685160582400).

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

9745781760000 is a wasteful number, since it uses less digits than its factorization.

9745781760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 9745781760000 in words is "nine trillion, seven hundred forty-five billion, seven hundred eighty-one million, seven hundred sixty thousand".