67663206144 has 648 divisors, whose sum is σ = 224508316032. Its totient is φ = 20282296320.

The previous prime is 67663206071. The next prime is 67663206157. The reversal of 67663206144 is 44160236676.

It is a happy number.

67663206144 is a `hidden beast` number, since 6 + 7 + 6 + 6 + 3 + 20 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 67663206144.

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, 516512959 + ... + 516513089.

Almost surely, 2^67663206144 is an apocalyptic number.

67663206144 is a gapful number since it is divisible by the number (64) 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 67663206144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112254158016).

67663206144 is an abundant number, since it is smaller than the sum of its proper divisors (156845109888).

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

67663206144 is a wasteful number, since it uses less digits than its factorization.

67663206144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 67663206144 in words is "sixty-seven billion, six hundred sixty-three million, two hundred six thousand, one hundred forty-four".