67906418162688 has 352 divisors, whose sum is σ = 232111044894720. Its totient is φ = 19209730867200.

The previous prime is 67906418162641. The next prime is 67906418162719. The reversal of 67906418162688 is 88626181460976.

67906418162688 is a `hidden beast` number, since 6 + 7 + 90 + 6 + 418 + 1 + 62 + 68 + 8 = 666.

67906418162688 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-2 number, since 2×67906418162688² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 17810145 + ... + 21284127.

Almost surely, 2^{67906418162688} 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 67906418162688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116055522447360).

67906418162688 is an abundant number, since it is smaller than the sum of its proper divisors (164204626732032).

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

67906418162688 is a wasteful number, since it uses less digits than its factorization.

67906418162688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474120 (or 3474096 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 67906418162688 in words is "sixty-seven trillion, nine hundred six billion, four hundred eighteen million, one hundred sixty-two thousand, six hundred eighty-eight".