66378312 has 256 divisors, whose sum is σ = 248371200. Its totient is φ = 15863040.

The previous prime is 66378293. The next prime is 66378331. The reversal of 66378312 is 21387366.

It is a happy number.

66378312 is a `hidden beast` number, since 6 + 637 + 8 + 3 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (66378293) and next prime (66378331).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216063 + ... + 216369.

It is an arithmetic number, because the mean of its divisors is an integer number (970200).

Almost surely, 2^66378312 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 66378312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124185600).

66378312 is an abundant number, since it is smaller than the sum of its proper divisors (181992888).

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

66378312 is a wasteful number, since it uses less digits than its factorization.

66378312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 343 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 66378312 is about 8147.2886287402. The cubic root of 66378312 is about 404.8946776882.

The spelling of 66378312 in words is "sixty-six million, three hundred seventy-eight thousand, three hundred twelve".