67752712216200 has 96 divisors (see below), whose sum is σ = 229127354062560. Its totient is φ = 16424899929600.

The previous prime is 67752712216193. The next prime is 67752712216213. The reversal of 67752712216200 is 261221725776.

It is a happy number.

67752712216200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 67752712216200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5132774629 + ... + 5132787828.

It is an arithmetic number, because the mean of its divisors is an integer number (2386743271485).

Almost surely, 2^{67752712216200} is an apocalyptic number.

67752712216200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67752712216200 is an abundant number, since it is smaller than the sum of its proper divisors (161374641846360).

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

67752712216200 is a wasteful number, since it uses less digits than its factorization.

67752712216200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10265562487 (or 10265562478 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 67752712216200 in words is "sixty-seven trillion, seven hundred fifty-two billion, seven hundred twelve million, two hundred sixteen thousand, two hundred".