66713300 has 36 divisors (see below), whose sum is σ = 145615680. Its totient is φ = 26529120.

The previous prime is 66713293. The next prime is 66713303. The reversal of 66713300 is 331766.

It is a self number, because there is not a number n which added to its sum of digits gives 66713300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66713303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16037 + ... + 19763.

It is an arithmetic number, because the mean of its divisors is an integer number (4044880).

Almost surely, 2^66713300 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 66713300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72807840).

66713300 is an abundant number, since it is smaller than the sum of its proper divisors (78902380).

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

66713300 is a wasteful number, since it uses less digits than its factorization.

66713300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 66713300 is about 8167.8210068537. The cubic root of 66713300 is about 405.5746554532.

It can be divided in two parts, 6 and 6713300, that multiplied together give a triangular number (40279800 = T₈₉₇₅).

The spelling of 66713300 in words is "sixty-six million, seven hundred thirteen thousand, three hundred".