766873488384 has 704 divisors, whose sum is σ = 2434233446400. Its totient is φ = 238082457600.

The previous prime is 766873488379. The next prime is 766873488449. The reversal of 766873488384 is 483884378667.

766873488384 is a `hidden beast` number, since 7 + 6 + 68 + 7 + 3 + 488 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4884544434 + ... + 4884544590.

Almost surely, 2^766873488384 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 766873488384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217116723200).

766873488384 is an abundant number, since it is smaller than the sum of its proper divisors (1667359958016).

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

766873488384 is a wasteful number, since it uses less digits than its factorization.

766873488384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 373 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 72.

The spelling of 766873488384 in words is "seven hundred sixty-six billion, eight hundred seventy-three million, four hundred eighty-eight thousand, three hundred eighty-four".