10836730368 has 160 divisors (see below), whose sum is σ = 32150025600. Its totient is φ = 3604082688.

The previous prime is 10836730363. The next prime is 10836730369. The reversal of 10836730368 is 86303763801.

It is not an unprimeable number, because it can be changed into a prime (10836730363) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11791413 + ... + 11792331.

It is an arithmetic number, because the mean of its divisors is an integer number (200937660).

Almost surely, 2^10836730368 is an apocalyptic number.

10836730368 is a gapful number since it is divisible by the number (18) 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 10836730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16075012800).

10836730368 is an abundant number, since it is smaller than the sum of its proper divisors (21313295232).

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

10836730368 is an frugal number, since it uses more digits than its factorization.

10836730368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10836730368 in words is "ten billion, eight hundred thirty-six million, seven hundred thirty thousand, three hundred sixty-eight".