67008013344 has 120 divisors (see below), whose sum is σ = 198877514220. Its totient is φ = 22130993664.

The previous prime is 67008013291. The next prime is 67008013357. The reversal of 67008013344 is 44331080076.

67008013344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 52175696400 + 14832316944 = 228420^2 + 121788^2 .

It is a super-3 number, since 3×67008013344³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67008013299 and 67008013308.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 163942 + ... + 401114.

Almost surely, 2^67008013344 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 67008013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99438757110).

67008013344 is an abundant number, since it is smaller than the sum of its proper divisors (131869500876).

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

67008013344 is a wasteful number, since it uses less digits than its factorization.

67008013344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237304 (or 237287 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 67008013344 in words is "sixty-seven billion, eight million, thirteen thousand, three hundred forty-four".