766418306688 has 192 divisors, whose sum is σ = 2282468198400. Its totient is φ = 246558541824.

The previous prime is 766418306681. The next prime is 766418306707. The reversal of 766418306688 is 886603814667.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (766418306681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132526645 + ... + 132532427.

It is an arithmetic number, because the mean of its divisors is an integer number (11887855200).

Almost surely, 2^766418306688 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 766418306688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141234099200).

766418306688 is an abundant number, since it is smaller than the sum of its proper divisors (1516049891712).

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

766418306688 is a wasteful number, since it uses less digits than its factorization.

766418306688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9799 (or 9784 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 766418306688 in words is "seven hundred sixty-six billion, four hundred eighteen million, three hundred six thousand, six hundred eighty-eight".