10766063240 has 128 divisors (see below), whose sum is σ = 25618226400. Its totient is φ = 4065976320.

The previous prime is 10766063227. The next prime is 10766063249. The reversal of 10766063240 is 4236066701.

It can be written as a sum of positive squares in 16 ways, for example, as 755260324 + 10010802916 = 27482^2 + 100054^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10766063240.

It is not an unprimeable number, because it can be changed into a prime (10766063249) 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 31 ways as a sum of consecutive naturals, for example, 16486754 + ... + 16487406.

Almost surely, 2^10766063240 is an apocalyptic number.

10766063240 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 10766063240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12809113200).

10766063240 is an abundant number, since it is smaller than the sum of its proper divisors (14852163160).

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

10766063240 is a wasteful number, since it uses less digits than its factorization.

10766063240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 10766063240 in words is "ten billion, seven hundred sixty-six million, sixty-three thousand, two hundred forty".