10666797768 has 256 divisors, whose sum is σ = 34454937600. Its totient is φ = 3025313280.

The previous prime is 10666797763. The next prime is 10666797851. The reversal of 10666797768 is 86779766601.

It is a super-2 number, since 2×10666797768² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10666797763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2566380 + ... + 2570532.

It is an arithmetic number, because the mean of its divisors is an integer number (134589600).

Almost surely, 2^10666797768 is an apocalyptic number.

10666797768 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 10666797768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17227468800).

10666797768 is an abundant number, since it is smaller than the sum of its proper divisors (23788139832).

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

10666797768 is a wasteful number, since it uses less digits than its factorization.

10666797768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 10666797768 in words is "ten billion, six hundred sixty-six million, seven hundred ninety-seven thousand, seven hundred sixty-eight".