66373600 has 72 divisors (see below), whose sum is σ = 163348920. Its totient is φ = 26334720.

The previous prime is 66373579. The next prime is 66373603. The reversal of 66373600 is 637366.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66373603) 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, 130146 + ... + 130654.

It is an arithmetic number, because the mean of its divisors is an integer number (2268735).

Almost surely, 2^66373600 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 66373600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81674460).

66373600 is an abundant number, since it is smaller than the sum of its proper divisors (96975320).

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

66373600 is a wasteful number, since it uses less digits than its factorization.

66373600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 31.

The square root of 66373600 is about 8146.9994476494. Note that the first 3 decimals coincide. The cubic root of 66373600 is about 404.8850967031.

The spelling of 66373600 in words is "sixty-six million, three hundred seventy-three thousand, six hundred".