66568320 has 384 divisors, whose sum is σ = 285143040. Its totient is φ = 13934592.

The previous prime is 66568303. The next prime is 66568321. The reversal of 66568320 is 2386566.

66568320 is a `hidden beast` number, since 66 + 568 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (66568321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524097 + ... + 524223.

It is an arithmetic number, because the mean of its divisors is an integer number (742560).

Almost surely, 2^66568320 is an apocalyptic number.

66568320 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 66568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142571520).

66568320 is an abundant number, since it is smaller than the sum of its proper divisors (218574720).

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

66568320 is a wasteful number, since it uses less digits than its factorization.

66568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 66568320 is about 8158.9411077664. The cubic root of 66568320 is about 405.2806468146.

The spelling of 66568320 in words is "sixty-six million, five hundred sixty-eight thousand, three hundred twenty".