67321213450704 has 400 divisors, whose sum is σ = 199771627511808. Its totient is φ = 21877146641664.

The previous prime is 67321213450703. The next prime is 67321213450723. The reversal of 67321213450704 is 40705431212376.

It is a happy number.

67321213450704 is a `hidden beast` number, since 6 + 7 + 3 + 2 + 1 + 2 + 134 + 507 + 0 + 4 = 666.

67321213450704 is digitally balanced in base 2 and base 5, because in such bases 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 67321213450704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67321213450703) 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 79 ways as a sum of consecutive naturals, for example, 30558879267 + ... + 30558881469.

Almost surely, 2^{67321213450704} 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 67321213450704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99885813755904).

67321213450704 is an abundant number, since it is smaller than the sum of its proper divisors (132450414061104).

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

67321213450704 is a wasteful number, since it uses less digits than its factorization.

67321213450704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 67321213450704 in words is "sixty-seven trillion, three hundred twenty-one billion, two hundred thirteen million, four hundred fifty thousand, seven hundred four".