10760244768 has 720 divisors, whose sum is σ = 41852099520. Its totient is φ = 2688505344.

The previous prime is 10760244697. The next prime is 10760244791. The reversal of 10760244768 is 86744206701.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 566328663 + ... + 566328681.

It is an arithmetic number, because the mean of its divisors is an integer number (58127916).

Almost surely, 2^10760244768 is an apocalyptic number.

10760244768 is a gapful number since it is divisible by the number (18) 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 10760244768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20926049760).

10760244768 is an abundant number, since it is smaller than the sum of its proper divisors (31091854752).

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

10760244768 is an frugal number, since it uses more digits than its factorization.

10760244768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 10760244768 in words is "ten billion, seven hundred sixty million, two hundred forty-four thousand, seven hundred sixty-eight".