67822209681408 has 1152 divisors, whose sum is σ = 264933120816000. Its totient is φ = 16945578639360.

The previous prime is 67822209681407. The next prime is 67822209681487. The reversal of 67822209681408 is 80418690222876.

67822209681408 is a `hidden beast` number, since 67 + 8 + 2 + 2 + 2 + 0 + 96 + 81 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (67822209681407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 669196818 + ... + 669298158.

It is an arithmetic number, because the mean of its divisors is an integer number (229976667375).

Almost surely, 2^{67822209681408} 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 67822209681408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132466560408000).

67822209681408 is an abundant number, since it is smaller than the sum of its proper divisors (197110911134592).

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

67822209681408 is a wasteful number, since it uses less digits than its factorization.

67822209681408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101418 (or 101385 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 67822209681408 in words is "sixty-seven trillion, eight hundred twenty-two billion, two hundred nine million, six hundred eighty-one thousand, four hundred eight".