My house number

Number Theory Level 3

My house has a number.

1) If my house number is a multiple of $3$ , then it is a number from $50$ to $59$ , inclusive.

2)If my house number is not a multiple of $4$ , then it is between $60$ to $69$ , inclusive.

3)If my house number is not a multiple of $6$ , then it is a number from $70$ to $79$ , inclusive.

What is my house number?

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