768537728640 has 256 divisors, whose sum is σ = 2969351049600. Its totient is φ = 186312130560.

The previous prime is 768537728639. The next prime is 768537728657. The reversal of 768537728640 is 46827735867.

768537728640 is a `hidden beast` number, since 76 + 8 + 537 + 7 + 28 + 6 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1831537 + ... + 2211696.

Almost surely, 2^768537728640 is an apocalyptic number.

It is an amenable number.

768537728640 is an abundant number, since it is smaller than the sum of its proper divisors (2200813320960).

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

768537728640 is a wasteful number, since it uses less digits than its factorization.

768537728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043272 (or 4043254 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 768537728640 in words is "seven hundred sixty-eight billion, five hundred thirty-seven million, seven hundred twenty-eight thousand, six hundred forty".