9106681675680 has 288 divisors, whose sum is σ = 31683523382784. Its totient is φ = 2381076891648.

The previous prime is 9106681675643. The next prime is 9106681675687. The reversal of 9106681675680 is 865761866019.

9106681675680 is a `hidden beast` number, since 9 + 1 + 0 + 6 + 6 + 8 + 1 + 67 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×9106681675680² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9106681675687) 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 47 ways as a sum of consecutive naturals, for example, 119555367 + ... + 119631513.

It is an arithmetic number, because the mean of its divisors is an integer number (110012233968).

Almost surely, 2^{9106681675680} is an apocalyptic number.

9106681675680 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 9106681675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15841761691392).

9106681675680 is an abundant number, since it is smaller than the sum of its proper divisors (22576841707104).

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

9106681675680 is a wasteful number, since it uses less digits than its factorization.

9106681675680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77788 (or 77777 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 9106681675680 in words is "nine trillion, one hundred six billion, six hundred eighty-one million, six hundred seventy-five thousand, six hundred eighty".