10683727440 has 160 divisors (see below), whose sum is σ = 33781587840. Its totient is φ = 2792620032.

The previous prime is 10683727423. The next prime is 10683727441. The reversal of 10683727440 is 4472738601.

It is a super-2 number, since 2×10683727440² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10683727392 and 10683727401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10683727441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2488816 + ... + 2493104.

It is an arithmetic number, because the mean of its divisors is an integer number (211134924).

Almost surely, 2^10683727440 is an apocalyptic number.

10683727440 is a gapful number since it is divisible by the number (10) 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 10683727440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16890793920).

10683727440 is an abundant number, since it is smaller than the sum of its proper divisors (23097860400).

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

10683727440 is a wasteful number, since it uses less digits than its factorization.

10683727440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4509 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 10683727440 in words is "ten billion, six hundred eighty-three million, seven hundred twenty-seven thousand, four hundred forty".