67698523107072 has 1728 divisors, whose sum is σ = 241660515672576. Its totient is φ = 17952213565440.

The previous prime is 67698523107049. The next prime is 67698523107073. The reversal of 67698523107072 is 27070132589676.

67698523107072 is a `hidden beast` number, since 6 + 7 + 6 + 98 + 523 + 10 + 7 + 0 + 7 + 2 = 666.

67698523107072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×67698523107072³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67698523107073) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 69292244248 + ... + 69292245224.

Almost surely, 2^{67698523107072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67698523107072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120830257836288).

67698523107072 is an abundant number, since it is smaller than the sum of its proper divisors (173961992565504).

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

67698523107072 is a wasteful number, since it uses less digits than its factorization.

67698523107072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 67698523107072 in words is "sixty-seven trillion, six hundred ninety-eight billion, five hundred twenty-three million, one hundred seven thousand, seventy-two".