10767992760 has 192 divisors, whose sum is σ = 40035340800. Its totient is φ = 2458798848.

The previous prime is 10767992743. The next prime is 10767992803. The reversal of 10767992760 is 6729976701.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10767992697 and 10767992706.

It is a congruent number.

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, 4048311 + ... + 4050969.

It is an arithmetic number, because the mean of its divisors is an integer number (208517400).

Almost surely, 2^10767992760 is an apocalyptic number.

10767992760 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 10767992760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20017670400).

10767992760 is an abundant number, since it is smaller than the sum of its proper divisors (29267348040).

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

10767992760 is a wasteful number, since it uses less digits than its factorization.

10767992760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 10767992760 in words is "ten billion, seven hundred sixty-seven million, nine hundred ninety-two thousand, seven hundred sixty".