67136524416 has 192 divisors, whose sum is σ = 214766173440. Its totient is φ = 19990886400.

The previous prime is 67136524409. The next prime is 67136524439. The reversal of 67136524416 is 61442563176.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391951 + ... + 536561.

It is an arithmetic number, because the mean of its divisors is an integer number (1118573820).

Almost surely, 2^67136524416 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 67136524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107383086720).

67136524416 is an abundant number, since it is smaller than the sum of its proper divisors (147629649024).

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

67136524416 is a wasteful number, since it uses less digits than its factorization.

67136524416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144675 (or 144660 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 67136524416 in words is "sixty-seven billion, one hundred thirty-six million, five hundred twenty-four thousand, four hundred sixteen".