768216543600 has 120 divisors (see below), whose sum is σ = 2684567676672. Its totient is φ = 186234310400.

The previous prime is 768216543571. The next prime is 768216543631. The reversal of 768216543600 is 6345612867.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 768216543600.

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 23 ways as a sum of consecutive naturals, for example, 29085912 + ... + 29112311.

Almost surely, 2^768216543600 is an apocalyptic number.

It is an amenable number.

768216543600 is an abundant number, since it is smaller than the sum of its proper divisors (1916351133072).

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

768216543600 is a wasteful number, since it uses less digits than its factorization.

768216543600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58198255 (or 58198244 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 768216543600 in words is "seven hundred sixty-eight billion, two hundred sixteen million, five hundred forty-three thousand, six hundred".