67845673479936 has 576 divisors, whose sum is σ = 224660292304896. Its totient is φ = 17911544217600.

The previous prime is 67845673479907. The next prime is 67845673479971. The reversal of 67845673479936 is 63997437654876.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102066925 + ... + 102729491.

It is an arithmetic number, because the mean of its divisors is an integer number (390035229696).

Almost surely, 2^{67845673479936} is an apocalyptic number.

67845673479936 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67845673479936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112330146152448).

67845673479936 is an abundant number, since it is smaller than the sum of its proper divisors (156814618824960).

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

67845673479936 is a wasteful number, since it uses less digits than its factorization.

67845673479936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662668 (or 662654 counting only the distinct ones).

The product of its digits is 34566497280, while the sum is 84.

The spelling of 67845673479936 in words is "sixty-seven trillion, eight hundred forty-five billion, six hundred seventy-three million, four hundred seventy-nine thousand, nine hundred thirty-six".