67645321344 has 448 divisors, whose sum is σ = 216033111360. Its totient is φ = 21037750272.

The previous prime is 67645321313. The next prime is 67645321351. The reversal of 67645321344 is 44312354676.

67645321344 is a `hidden beast` number, since 6 + 7 + 64 + 532 + 13 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 67645321344.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 92285202 + ... + 92285934.

Almost surely, 2^67645321344 is an apocalyptic number.

67645321344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67645321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108016555680).

67645321344 is an abundant number, since it is smaller than the sum of its proper divisors (148387790016).

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

67645321344 is an equidigital number, since it uses as much as digits as its factorization.

67645321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 804 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 67645321344 in words is "sixty-seven billion, six hundred forty-five million, three hundred twenty-one thousand, three hundred forty-four".