66642368 has 56 divisors (see below), whose sum is σ = 143548608. Its totient is φ = 30514176.

The previous prime is 66642349. The next prime is 66642371. The reversal of 66642368 is 86324666.

66642368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 143705 + ... + 144167.

It is an arithmetic number, because the mean of its divisors is an integer number (2563368).

Almost surely, 2^66642368 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 66642368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71774304).

66642368 is an abundant number, since it is smaller than the sum of its proper divisors (76906240).

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

66642368 is a wasteful number, since it uses less digits than its factorization.

66642368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 651 counting only the distinct ones).

The product of its digits is 248832, while the sum is 41.

The square root of 66642368 is about 8163.4776902984. The cubic root of 66642368 is about 405.4308639189.

It can be divided in two parts, 666 and 42368, that added together give a palindrome (43034).

The spelling of 66642368 in words is "sixty-six million, six hundred forty-two thousand, three hundred sixty-eight".