9785361768 has 128 divisors (see below), whose sum is σ = 30167531520. Its totient is φ = 2575722240.

The previous prime is 9785361757. The next prime is 9785361797. The reversal of 9785361768 is 8671635879.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1190553 + ... + 1198743.

It is an arithmetic number, because the mean of its divisors is an integer number (235683840).

Almost surely, 2^9785361768 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 9785361768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15083765760).

9785361768 is an abundant number, since it is smaller than the sum of its proper divisors (20382169752).

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

9785361768 is a wasteful number, since it uses less digits than its factorization.

9785361768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8767 (or 8763 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 60.

The square root of 9785361768 is about 98920.9875001256. The cubic root of 9785361768 is about 2138.9089386872.

The spelling of 9785361768 in words is "nine billion, seven hundred eighty-five million, three hundred sixty-one thousand, seven hundred sixty-eight".