10680765204736 has 243 divisors, whose sum is σ = 24254988371859. Its totient is φ = 4690440268800.

The previous prime is 10680765204647. The next prime is 10680765204743. The reversal of 10680765204736 is 63740256708601.

The square root of 10680765204736 is 3268144.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×10680765204736² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17830993365 + ... + 17830993963.

Almost surely, 2^{10680765204736} is an apocalyptic number.

10680765204736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10680765204736 is the 3268144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10680765204736

10680765204736 is an abundant number, since it is smaller than the sum of its proper divisors (13574223167123).

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

10680765204736 is an frugal number, since it uses more digits than its factorization.

10680765204736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 55.

The spelling of 10680765204736 in words is "ten trillion, six hundred eighty billion, seven hundred sixty-five million, two hundred four thousand, seven hundred thirty-six".