66667000033368 has 384 divisors, whose sum is σ = 214952452915200. Its totient is φ = 18962492605056.

The previous prime is 66667000033367. The next prime is 66667000033373. The reversal of 66667000033368 is 86333000076666.

It is a happy number.

66667000033368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66667000033368² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66667000033367) 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 95 ways as a sum of consecutive naturals, for example, 2765909205 + ... + 2765933307.

It is an arithmetic number, because the mean of its divisors is an integer number (559772012800).

Almost surely, 2^{66667000033368} 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 66667000033368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107476226457600).

66667000033368 is an abundant number, since it is smaller than the sum of its proper divisors (148285452881832).

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

66667000033368 is a wasteful number, since it uses less digits than its factorization.

66667000033368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25033 (or 25017 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 66667000033368 in words is "sixty-six trillion, six hundred sixty-seven billion, thirty-three thousand, three hundred sixty-eight".