67012249905216 has 1344 divisors, whose sum is σ = 258179827576320. Its totient is φ = 16084500480000.

The previous prime is 67012249905169. The next prime is 67012249905221. The reversal of 67012249905216 is 61250994221076.

It is a happy number.

67012249905216 is a `hidden beast` number, since 6 + 7 + 0 + 1 + 2 + 24 + 9 + 90 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37208355516 + ... + 37208357316.

Almost surely, 2^{67012249905216} is an apocalyptic number.

67012249905216 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 67012249905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129089913788160).

67012249905216 is an abundant number, since it is smaller than the sum of its proper divisors (191167577671104).

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

67012249905216 is a wasteful number, since it uses less digits than its factorization.

67012249905216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 67012249905216 in words is "sixty-seven trillion, twelve billion, two hundred forty-nine million, nine hundred five thousand, two hundred sixteen".