67473768144096 has 144 divisors (see below), whose sum is σ = 193265552188800. Its totient is φ = 22328829619200.

The previous prime is 67473768144059. The next prime is 67473768144169. The reversal of 67473768144096 is 69044186737476.

67473768144096 is a `hidden beast` number, since 6 + 7 + 4 + 7 + 37 + 68 + 1 + 440 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83318346 + ... + 84124278.

It is an arithmetic number, because the mean of its divisors is an integer number (1342121890200).

Almost surely, 2^{67473768144096} 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 67473768144096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96632776094400).

67473768144096 is an abundant number, since it is smaller than the sum of its proper divisors (125791784044704).

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

67473768144096 is a wasteful number, since it uses less digits than its factorization.

67473768144096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808049 (or 808038 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 67473768144096 in words is "sixty-seven trillion, four hundred seventy-three billion, seven hundred sixty-eight million, one hundred forty-four thousand, ninety-six".