67144413672 has 128 divisors (see below), whose sum is σ = 213234067200. Its totient is φ = 19177171200.

The previous prime is 67144413667. The next prime is 67144413733. The reversal of 67144413672 is 27631444176.

67144413672 is a `hidden beast` number, since 6 + 7 + 1 + 444 + 136 + 72 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5347722 + ... + 5360262.

It is an arithmetic number, because the mean of its divisors is an integer number (1665891150).

Almost surely, 2^67144413672 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 67144413672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106617033600).

67144413672 is an abundant number, since it is smaller than the sum of its proper divisors (146089653528).

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

67144413672 is a wasteful number, since it uses less digits than its factorization.

67144413672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16104 (or 16094 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 67144413672 in words is "sixty-seven billion, one hundred forty-four million, four hundred thirteen thousand, six hundred seventy-two".