10766458782 has 96 divisors (see below), whose sum is σ = 24466391040. Its totient is φ = 3417785280.

The previous prime is 10766458741. The next prime is 10766458789. The reversal of 10766458782 is 28785466701.

10766458782 is a `hidden beast` number, since 107 + 6 + 6 + 458 + 7 + 82 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10766458789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9849828 + ... + 9850920.

It is an arithmetic number, because the mean of its divisors is an integer number (254858240).

Almost surely, 2^10766458782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10766458782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12233195520).

10766458782 is an abundant number, since it is smaller than the sum of its proper divisors (13699932258).

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

10766458782 is a wasteful number, since it uses less digits than its factorization.

10766458782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 10766458782 in words is "ten billion, seven hundred sixty-six million, four hundred fifty-eight thousand, seven hundred eighty-two".