67013798525344 has 36 divisors (see below), whose sum is σ = 145017721558962. Its totient is φ = 30460817509760.

The previous prime is 67013798525273. The next prime is 67013798525357. The reversal of 67013798525344 is 44352589731076.

It can be written as a sum of positive squares in only one way, i.e., 43557096048400 + 23456702476944 = 6599780^2 + 4843212^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8653637467 + ... + 8653645210.

It is a 2-persistent number, because it is pandigital, and so is 2⋅67013798525344 = 134027597050688, but 3⋅67013798525344 = 201041395576032 is not.

Almost surely, 2^{67013798525344} is an apocalyptic number.

It is an amenable number.

67013798525344 is an abundant number, since it is smaller than the sum of its proper divisors (78003923033618).

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

67013798525344 is a wasteful number, since it uses less digits than its factorization.

67013798525344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17307282709 (or 17307282690 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 64.

The spelling of 67013798525344 in words is "sixty-seven trillion, thirteen billion, seven hundred ninety-eight million, five hundred twenty-five thousand, three hundred forty-four".