10764968760 has 864 divisors, whose sum is σ = 46278591840. Its totient is φ = 2158700544.

The previous prime is 10764968647. The next prime is 10764968789. The reversal of 10764968760 is 6786946701.

It is a happy number.

10764968760 is a `hidden beast` number, since 1 + 0 + 76 + 496 + 87 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10764968697 and 10764968706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 68566602 + ... + 68566758.

It is an arithmetic number, because the mean of its divisors is an integer number (53563185).

Almost surely, 2^10764968760 is an apocalyptic number.

10764968760 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 10764968760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23139295920).

10764968760 is an abundant number, since it is smaller than the sum of its proper divisors (35513623080).

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

10764968760 is a wasteful number, since it uses less digits than its factorization.

10764968760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 10764968760 in words is "ten billion, seven hundred sixty-four million, nine hundred sixty-eight thousand, seven hundred sixty".