66316320 has 480 divisors, whose sum is σ = 289795968. Its totient is φ = 13934592.

The previous prime is 66316319. The next prime is 66316351. The reversal of 66316320 is 2361366.

66316320 is a `hidden beast` number, since 6 + 631 + 6 + 3 + 20 = 666.

66316320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1542219 + ... + 1542261.

Almost surely, 2^66316320 is an apocalyptic number.

66316320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66316320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144897984).

66316320 is an abundant number, since it is smaller than the sum of its proper divisors (223479648).

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

66316320 is a wasteful number, since it uses less digits than its factorization.

66316320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 66316320 is about 8143.4832841972. The cubic root of 66316320 is about 404.7685920837.

Adding to 66316320 its reverse (2361366), we get a palindrome (68677686).

The spelling of 66316320 in words is "sixty-six million, three hundred sixteen thousand, three hundred twenty".