10766036880 has 240 divisors, whose sum is σ = 39714779520. Its totient is φ = 2601510912.

The previous prime is 10766036867. The next prime is 10766036909. The reversal of 10766036880 is 8863066701.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297532 + ... + 331748.

It is an arithmetic number, because the mean of its divisors is an integer number (165478248).

Almost surely, 2^10766036880 is an apocalyptic number.

10766036880 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 10766036880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19857389760).

10766036880 is an abundant number, since it is smaller than the sum of its proper divisors (28948742640).

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

10766036880 is a wasteful number, since it uses less digits than its factorization.

10766036880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34278 (or 34269 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10766036880 in words is "ten billion, seven hundred sixty-six million, thirty-six thousand, eight hundred eighty".