10766772720 has 200 divisors, whose sum is σ = 40794375600. Its totient is φ = 2610109440.

The previous prime is 10766772713. The next prime is 10766772721. The reversal of 10766772720 is 2727766701.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10766772721) 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 39 ways as a sum of consecutive naturals, for example, 4245 + ... + 146804.

It is an arithmetic number, because the mean of its divisors is an integer number (203971878).

Almost surely, 2^10766772720 is an apocalyptic number.

10766772720 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 10766772720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20397187800).

10766772720 is an abundant number, since it is smaller than the sum of its proper divisors (30027602880).

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

10766772720 is a wasteful number, since it uses less digits than its factorization.

10766772720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151085 (or 151070 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 10766772720 in words is "ten billion, seven hundred sixty-six million, seven hundred seventy-two thousand, seven hundred twenty".