9760423770240 has 3072 divisors, whose sum is σ = 41755962931200. Its totient is φ = 1904117022720.

The previous prime is 9760423770239. The next prime is 9760423770269. The reversal of 9760423770240 is 420773240679.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 383 ways as a sum of consecutive naturals, for example, 145677966687 + ... + 145677966753.

It is an arithmetic number, because the mean of its divisors is an integer number (13592435850).

Almost surely, 2^{9760423770240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9760423770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20877981465600).

9760423770240 is an abundant number, since it is smaller than the sum of its proper divisors (31995539160960).

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

9760423770240 is a wasteful number, since it uses less digits than its factorization.

9760423770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 51.

The spelling of 9760423770240 in words is "nine trillion, seven hundred sixty billion, four hundred twenty-three million, seven hundred seventy thousand, two hundred forty".