67066388381000 has 64 divisors (see below), whose sum is σ = 156937526768880. Its totient is φ = 26826183052800.

The previous prime is 67066388380963. The next prime is 67066388381009. The reversal of 67066388381000 is 18388366076.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16830982143364 + 50235406237636 = 4102558^2 + 7087694^2 .

It is a super-2 number, since 2×67066388381000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67066388381009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78286982 + ... + 79139018.

Almost surely, 2^{67066388381000} is an apocalyptic number.

It is an amenable number.

67066388381000 is an abundant number, since it is smaller than the sum of its proper divisors (89871138387880).

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

67066388381000 is a wasteful number, since it uses less digits than its factorization.

67066388381000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930771 (or 930757 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 67066388381000 in words is "sixty-seven trillion, sixty-six billion, three hundred eighty-eight million, three hundred eighty-one thousand".