9349673575680 has 216 divisors, whose sum is σ = 32484257245440. Its totient is φ = 2482813562880.

The previous prime is 9349673575663. The next prime is 9349673575747. The reversal of 9349673575680 is 865753769439.

9349673575680 is a `hidden beast` number, since 9 + 3 + 4 + 9 + 6 + 7 + 3 + 57 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9349673575599 and 9349673575608.

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 23 ways as a sum of consecutive naturals, for example, 1055365 + ... + 4451195.

It is an arithmetic number, because the mean of its divisors is an integer number (150390079840).

Almost surely, 2^{9349673575680} is an apocalyptic number.

9349673575680 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 9349673575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16242128622720).

9349673575680 is an abundant number, since it is smaller than the sum of its proper divisors (23134583669760).

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

9349673575680 is a wasteful number, since it uses less digits than its factorization.

9349673575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396097 (or 3396080 counting only the distinct ones).

The product of its (nonzero) digits is 1028764800, while the sum is 72.

The spelling of 9349673575680 in words is "nine trillion, three hundred forty-nine billion, six hundred seventy-three million, five hundred seventy-five thousand, six hundred eighty".