67548477484576 has 192 divisors, whose sum is σ = 156018624491520. Its totient is φ = 28458350991360.

The previous prime is 67548477484559. The next prime is 67548477484577.

67548477484576 is nontrivially palindromic in base 10.

67548477484576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 67548477484576.

It is not an unprimeable number, because it can be changed into a prime (67548477484577) 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 31 ways as a sum of consecutive naturals, for example, 872872381 + ... + 872949763.

It is an arithmetic number, because the mean of its divisors is an integer number (812597002560).

Almost surely, 2^{67548477484576} 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 67548477484576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78009312245760).

67548477484576 is an abundant number, since it is smaller than the sum of its proper divisors (88470147006944).

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

67548477484576 is a wasteful number, since it uses less digits than its factorization.

67548477484576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80247 (or 80239 counting only the distinct ones).

The product of its digits is 35404185600, while the sum is 82.

The spelling of 67548477484576 in words is "sixty-seven trillion, five hundred forty-eight billion, four hundred seventy-seven million, four hundred eighty-four thousand, five hundred seventy-six".