10680738360 has 64 divisors (see below), whose sum is σ = 32049838080. Its totient is φ = 2847519360.

The previous prime is 10680738349. The next prime is 10680738371. The reversal of 10680738360 is 6383708601.

10680738360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10680738349) and next prime (10680738371).

It is a super-2 number, since 2×10680738360² (a number of 21 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686265 + ... + 701655.

It is an arithmetic number, because the mean of its divisors is an integer number (500778720).

Almost surely, 2^10680738360 is an apocalyptic number.

10680738360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10680738360 is an abundant number, since it is smaller than the sum of its proper divisors (21369099720).

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

10680738360 is a wasteful number, since it uses less digits than its factorization.

10680738360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21188 (or 21184 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 10680738360 in words is "ten billion, six hundred eighty million, seven hundred thirty-eight thousand, three hundred sixty".