67080879996000 has 576 divisors, whose sum is σ = 238110045526080. Its totient is φ = 16501922611200.

The previous prime is 67080879995981. The next prime is 67080879996061. The reversal of 67080879996000 is 69997808076.

It is a super-2 number, since 2×67080879996000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3555074566 + ... + 3555093434.

It is an arithmetic number, because the mean of its divisors is an integer number (413385495705).

Almost surely, 2^{67080879996000} is an apocalyptic number.

67080879996000 is a gapful number since it is divisible by the number (60) 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 67080879996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119055022763040).

67080879996000 is an abundant number, since it is smaller than the sum of its proper divisors (171029165530080).

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

67080879996000 is a wasteful number, since it uses less digits than its factorization.

67080879996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20676 (or 20645 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 69.

The spelling of 67080879996000 in words is "sixty-seven trillion, eighty billion, eight hundred seventy-nine million, nine hundred ninety-six thousand".