768997993824 has 36 divisors (see below), whose sum is σ = 2186838045756. Its totient is φ = 256332664512.

The previous prime is 768997993811. The next prime is 768997993847. The reversal of 768997993824 is 428399799867.

768997993824 is a `hidden beast` number, since 7 + 68 + 9 + 97 + 99 + 382 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1335065674 + ... + 1335066249.

It is an arithmetic number, because the mean of its divisors is an integer number (60745501271).

Almost surely, 2^768997993824 is an apocalyptic number.

It is an amenable number.

768997993824 is an abundant number, since it is smaller than the sum of its proper divisors (1417840051932).

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

768997993824 is a wasteful number, since it uses less digits than its factorization.

768997993824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670131939 (or 2670131928 counting only the distinct ones).

The product of its digits is 2962842624, while the sum is 81.

The spelling of 768997993824 in words is "seven hundred sixty-eight billion, nine hundred ninety-seven million, nine hundred ninety-three thousand, eight hundred twenty-four".