67741601211648 has 864 divisors, whose sum is σ = 260955432729600. Its totient is φ = 16925566574592.

The previous prime is 67741601211601. The next prime is 67741601211733. The reversal of 67741601211648 is 84611210614776.

It is a happy number.

67741601211648 is a `hidden beast` number, since 6 + 7 + 7 + 4 + 1 + 601 + 21 + 1 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 67741601211594 and 67741601211603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155143011 + ... + 155579037.

Almost surely, 2^{67741601211648} 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 67741601211648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130477716364800).

67741601211648 is an abundant number, since it is smaller than the sum of its proper divisors (193213831517952).

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

67741601211648 is a wasteful number, since it uses less digits than its factorization.

67741601211648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436104 (or 436071 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 67741601211648 in words is "sixty-seven trillion, seven hundred forty-one billion, six hundred one million, two hundred eleven thousand, six hundred forty-eight".