67407369360216 has 256 divisors, whose sum is σ = 176011121664000. Its totient is φ = 21486339624960.

The previous prime is 67407369360211. The next prime is 67407369360251. The reversal of 67407369360216 is 61206396370476.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 67407369360216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67407369360211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38452577196 + ... + 38452578948.

It is an arithmetic number, because the mean of its divisors is an integer number (687543444000).

Almost surely, 2^{67407369360216} 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 67407369360216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88005560832000).

67407369360216 is an abundant number, since it is smaller than the sum of its proper divisors (108603752303784).

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

67407369360216 is a wasteful number, since it uses less digits than its factorization.

67407369360216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 60.

The spelling of 67407369360216 in words is "sixty-seven trillion, four hundred seven billion, three hundred sixty-nine million, three hundred sixty thousand, two hundred sixteen".