966761223768 has 384 divisors, whose sum is σ = 2886264576000. Its totient is φ = 291193159680.

The previous prime is 966761223719. The next prime is 966761223851. The reversal of 966761223768 is 867322167669.

966761223768 is a `hidden beast` number, since 9 + 6 + 6 + 7 + 612 + 2 + 3 + 7 + 6 + 8 = 666.

966761223768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1166177178 + ... + 1166178006.

It is an arithmetic number, because the mean of its divisors is an integer number (7516314000).

Almost surely, 2^966761223768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966761223768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443132288000).

966761223768 is an abundant number, since it is smaller than the sum of its proper divisors (1919503352232).

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

966761223768 is a wasteful number, since it uses less digits than its factorization.

966761223768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1248 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 966761223768 in words is "nine hundred sixty-six billion, seven hundred sixty-one million, two hundred twenty-three thousand, seven hundred sixty-eight".