67407000040008 has 48 divisors (see below), whose sum is σ = 182651136471180. Its totient is φ = 22457860153344.

The previous prime is 67407000040007. The next prime is 67407000040043. The reversal of 67407000040008 is 80004000070476.

It is a happy number.

67407000040008 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 66621149703684 + 785850336324 = 8162178^2 + 886482^2 .

It is a super-3 number, since 3×67407000040008³ (a number of 42 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (67407000040007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231934185 + ... + 232224632.

Almost surely, 2^{67407000040008} is an apocalyptic number.

It is an amenable number.

67407000040008 is an abundant number, since it is smaller than the sum of its proper divisors (115244136431172).

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

67407000040008 is a wasteful number, since it uses less digits than its factorization.

67407000040008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464160846 (or 464160839 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 67407000040008 in words is "sixty-seven trillion, four hundred seven billion, forty thousand, eight".