768269308928 has 88 divisors (see below), whose sum is σ = 1679285435520. Its totient is φ = 348404613120.

The previous prime is 768269308909. The next prime is 768269309011. The reversal of 768269308928 is 829803962867.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4798553 + ... + 4956071.

It is an arithmetic number, because the mean of its divisors is an integer number (19082789040).

Almost surely, 2^768269308928 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 768269308928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839642717760).

768269308928 is an abundant number, since it is smaller than the sum of its proper divisors (911016126592).

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

768269308928 is a wasteful number, since it uses less digits than its factorization.

768269308928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157983 (or 157965 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 68.

The spelling of 768269308928 in words is "seven hundred sixty-eight billion, two hundred sixty-nine million, three hundred eight thousand, nine hundred twenty-eight".