768537694080 has 1440 divisors, whose sum is σ = 3149507833560. Its totient is φ = 179221745664.

The previous prime is 768537694013. The next prime is 768537694081. The reversal of 768537694080 is 80496735867.

768537694080 is a `hidden beast` number, since 7 + 6 + 8 + 537 + 6 + 94 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 768537693999 and 768537694017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768537694081) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 40449352311 + ... + 40449352329.

Almost surely, 2^768537694080 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 768537694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574753916780).

768537694080 is an abundant number, since it is smaller than the sum of its proper divisors (2380970139480).

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

768537694080 is an frugal number, since it uses more digits than its factorization.

768537694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 768537694080 in words is "seven hundred sixty-eight billion, five hundred thirty-seven million, six hundred ninety-four thousand, eighty".