688764198747168 has 168 divisors, whose sum is σ = 2047916715810588. Its totient is φ = 227912239890432.

The previous prime is 688764198747103. The next prime is 688764198747173. The reversal of 688764198747168 is 861747891467886.

688764198747168 is a `hidden beast` number, since 6 + 8 + 8 + 7 + 6 + 41 + 98 + 7 + 471 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 669614367640464 + 19149831106704 = 25876908^2 + 4376052^2 .

It is a super-2 number, since 2×688764198747168² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 104560321 + ... + 110952192.

Almost surely, 2^{688764198747168} is an apocalyptic number.

It is an amenable number.

688764198747168 is an abundant number, since it is smaller than the sum of its proper divisors (1359152517063420).

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

688764198747168 is a wasteful number, since it uses less digits than its factorization.

688764198747168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215512678 (or 215512655 counting only the distinct ones).

The product of its digits is 43698880512, while the sum is 90.

The spelling of 688764198747168 in words is "six hundred eighty-eight trillion, seven hundred sixty-four billion, one hundred ninety-eight million, seven hundred forty-seven thousand, one hundred sixty-eight".