67668102320 has 480 divisors, whose sum is σ = 204225053760. Its totient is φ = 20654161920.

The previous prime is 67668102287. The next prime is 67668102329. The reversal of 67668102320 is 2320186676.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (67668102329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290420924 + ... + 290421156.

It is an arithmetic number, because the mean of its divisors is an integer number (425468862).

Almost surely, 2^67668102320 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 67668102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102112526880).

67668102320 is an abundant number, since it is smaller than the sum of its proper divisors (136556951440).

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

67668102320 is a wasteful number, since it uses less digits than its factorization.

67668102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

Adding to 67668102320 its reverse (2320186676), we get a palindrome (69988288996).

The spelling of 67668102320 in words is "sixty-seven billion, six hundred sixty-eight million, one hundred two thousand, three hundred twenty".