9097806881760 has 384 divisors, whose sum is σ = 30074079168000. Its totient is φ = 2309449605120.

The previous prime is 9097806881753. The next prime is 9097806881773. The reversal of 9097806881760 is 671886087909.

It is a super-2 number, since 2×9097806881760² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221073666 + ... + 221114814.

It is an arithmetic number, because the mean of its divisors is an integer number (78317914500).

Almost surely, 2^{9097806881760} 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 9097806881760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15037039584000).

9097806881760 is an abundant number, since it is smaller than the sum of its proper divisors (20976272286240).

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

9097806881760 is a wasteful number, since it uses less digits than its factorization.

9097806881760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41474 (or 41466 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 69.

The spelling of 9097806881760 in words is "nine trillion, ninety-seven billion, eight hundred six million, eight hundred eighty-one thousand, seven hundred sixty".