9385766664960 has 576 divisors, whose sum is σ = 35975591995392. Its totient is φ = 2038951968768.

The previous prime is 9385766664943. The next prime is 9385766664961. The reversal of 9385766664960 is 694666675839.

It is not an unprimeable number, because it can be changed into a prime (9385766664961) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 97015332 + ... + 97112028.

It is an arithmetic number, because the mean of its divisors is an integer number (62457624992).

Almost surely, 2^{9385766664960} 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 9385766664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17987795997696).

9385766664960 is an abundant number, since it is smaller than the sum of its proper divisors (26589825330432).

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

9385766664960 is a wasteful number, since it uses less digits than its factorization.

9385766664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96908 (or 96894 counting only the distinct ones).

The product of its (nonzero) digits is 2116316160, while the sum is 75.

The spelling of 9385766664960 in words is "nine trillion, three hundred eighty-five billion, seven hundred sixty-six million, six hundred sixty-four thousand, nine hundred sixty".