67848868587168 has 72 divisors (see below), whose sum is σ = 200091339328608. Its totient is φ = 22616289526464.

The previous prime is 67848868587119. The next prime is 67848868587169. The reversal of 67848868587168 is 86178586884876.

It is a happy number.

67848868587168 is a `hidden beast` number, since 6 + 7 + 8 + 4 + 8 + 8 + 6 + 8 + 587 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (67848868587169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4362702396 + ... + 4362717947.

It is an arithmetic number, because the mean of its divisors is an integer number (2779046379564).

Almost surely, 2^{67848868587168} is an apocalyptic number.

It is an amenable number.

67848868587168 is an abundant number, since it is smaller than the sum of its proper divisors (132242470741440).

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

67848868587168 is an equidigital number, since it uses as much as digits as its factorization.

67848868587168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8725420368 (or 8725420348 counting only the distinct ones).

The product of its digits is 55490641920, while the sum is 90.

The spelling of 67848868587168 in words is "sixty-seven trillion, eight hundred forty-eight billion, eight hundred sixty-eight million, five hundred eighty-seven thousand, one hundred sixty-eight".