8355730440960 has 1296 divisors, whose sum is σ = 34217630647200. Its totient is φ = 1876822327296.

The previous prime is 8355730440949. The next prime is 8355730440991. The reversal of 8355730440960 is 690440375538.

8355730440960 is a `hidden beast` number, since 8 + 3 + 5 + 573 + 0 + 4 + 4 + 0 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8355730440897 and 8355730440906.

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 143 ways as a sum of consecutive naturals, for example, 8552435992 + ... + 8552436968.

Almost surely, 2^{8355730440960} is an apocalyptic number.

8355730440960 is a gapful number since it is divisible by the number (80) 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 8355730440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108815323600).

8355730440960 is an abundant number, since it is smaller than the sum of its proper divisors (25861900206240).

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

8355730440960 is a wasteful number, since it uses less digits than its factorization.

8355730440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 8355730440960 in words is "eight trillion, three hundred fifty-five billion, seven hundred thirty million, four hundred forty thousand, nine hundred sixty".