67953342367872 has 384 divisors, whose sum is σ = 213179067279360. Its totient is φ = 20652570279936.

The previous prime is 67953342367847. The next prime is 67953342367873. The reversal of 67953342367872 is 27876324335976.

It is a happy number.

67953342367872 is a `hidden beast` number, since 6 + 7 + 9 + 533 + 4 + 2 + 3 + 6 + 7 + 87 + 2 = 666.

67953342367872 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 (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 67953342367872.

It is not an unprimeable number, because it can be changed into a prime (67953342367873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431664408 + ... + 431821800.

It is an arithmetic number, because the mean of its divisors is an integer number (555153821040).

Almost surely, 2^{67953342367872} 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 67953342367872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106589533639680).

67953342367872 is an abundant number, since it is smaller than the sum of its proper divisors (145225724911488).

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

67953342367872 is a wasteful number, since it uses less digits than its factorization.

67953342367872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157780 (or 157765 counting only the distinct ones).

The product of its digits is 1920360960, while the sum is 72.

The spelling of 67953342367872 in words is "sixty-seven trillion, nine hundred fifty-three billion, three hundred forty-two million, three hundred sixty-seven thousand, eight hundred seventy-two".