67412905056 has 288 divisors, whose sum is σ = 231848967168. Its totient is φ = 18163031040.

The previous prime is 67412905039. The next prime is 67412905067. The reversal of 67412905056 is 65050921476.

67412905056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3281890 + ... + 3302366.

It is an arithmetic number, because the mean of its divisors is an integer number (805031136).

Almost surely, 2^67412905056 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 67412905056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115924483584).

67412905056 is an abundant number, since it is smaller than the sum of its proper divisors (164436062112).

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

67412905056 is a wasteful number, since it uses less digits than its factorization.

67412905056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20594 (or 20583 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 67412905056 in words is "sixty-seven billion, four hundred twelve million, nine hundred five thousand, fifty-six".