67778091245568 has 1344 divisors, whose sum is σ = 217609124140800. Its totient is φ = 18579566100480.

The previous prime is 67778091245483. The next prime is 67778091245629. The reversal of 67778091245568 is 86554219087776.

It is a self number, because there is not a number n which added to its sum of digits gives 67778091245568.

It is a congruent number.

It is an unprimeable number.

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, 244686249846 + ... + 244686250122.

It is an arithmetic number, because the mean of its divisors is an integer number (161911550700).

Almost surely, 2^{67778091245568} 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 67778091245568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108804562070400).

67778091245568 is an abundant number, since it is smaller than the sum of its proper divisors (149831032895232).

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

67778091245568 is a wasteful number, since it uses less digits than its factorization.

67778091245568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 75.

The spelling of 67778091245568 in words is "sixty-seven trillion, seven hundred seventy-eight billion, ninety-one million, two hundred forty-five thousand, five hundred sixty-eight".