67344378721488 has 320 divisors, whose sum is σ = 216752614444800. Its totient is φ = 19839616727040.

The previous prime is 67344378721471. The next prime is 67344378721493. The reversal of 67344378721488 is 88412787344376.

It is a happy number.

67344378721488 is a `hidden beast` number, since 6 + 7 + 3 + 4 + 4 + 3 + 78 + 72 + 1 + 488 = 666.

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 63 ways as a sum of consecutive naturals, for example, 215931870 + ... + 216243522.

It is an arithmetic number, because the mean of its divisors is an integer number (677351920140).

Almost surely, 2^{67344378721488} 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 67344378721488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108376307222400).

67344378721488 is an abundant number, since it is smaller than the sum of its proper divisors (149408235723312).

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

67344378721488 is a wasteful number, since it uses less digits than its factorization.

67344378721488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312947 (or 312935 counting only the distinct ones).

The product of its digits is 1213857792, while the sum is 72.

The spelling of 67344378721488 in words is "sixty-seven trillion, three hundred forty-four billion, three hundred seventy-eight million, seven hundred twenty-one thousand, four hundred eighty-eight".