66364600 has 96 divisors (see below), whose sum is σ = 165726000. Its totient is φ = 24627200.

The previous prime is 66364553. The next prime is 66364603. The reversal of 66364600 is 646366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66364603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445326 + ... + 445474.

Almost surely, 2^66364600 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 66364600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82863000).

66364600 is an abundant number, since it is smaller than the sum of its proper divisors (99361400).

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

66364600 is a wasteful number, since it uses less digits than its factorization.

66364600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 66364600 is about 8146.4470783281. The cubic root of 66364600 is about 404.8667955985.

It can be divided in two parts, 6636 and 4600, that added together give a square (11236 = 106²).

The spelling of 66364600 in words is "sixty-six million, three hundred sixty-four thousand, six hundred".