67881041424 has 360 divisors, whose sum is σ = 226119173280. Its totient is φ = 18949303296.

The previous prime is 67881041401. The next prime is 67881041461. The reversal of 67881041424 is 42414018876.

67881041424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 67881041424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65712012 + ... + 65713044.

Almost surely, 2^67881041424 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 67881041424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113059586640).

67881041424 is an abundant number, since it is smaller than the sum of its proper divisors (158238131856).

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

67881041424 is a wasteful number, since it uses less digits than its factorization.

67881041424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 67881041424 in words is "sixty-seven billion, eight hundred eighty-one million, forty-one thousand, four hundred twenty-four".