67028678401608 has 2560 divisors, whose sum is σ = 258597362073600. Its totient is φ = 15833924789760.

The previous prime is 67028678401583. The next prime is 67028678401721. The reversal of 67028678401608 is 80610487682076.

67028678401608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 639 ways as a sum of consecutive naturals, for example, 527784869241 + ... + 527784869367.

It is an arithmetic number, because the mean of its divisors is an integer number (101014594560).

Almost surely, 2^{67028678401608} 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 67028678401608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129298681036800).

67028678401608 is an abundant number, since it is smaller than the sum of its proper divisors (191568683671992).

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

67028678401608 is a wasteful number, since it uses less digits than its factorization.

67028678401608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 67028678401608 in words is "sixty-seven trillion, twenty-eight billion, six hundred seventy-eight million, four hundred one thousand, six hundred eight".