66633336 has 288 divisors, whose sum is σ = 244885680. Its totient is φ = 16128000.

The previous prime is 66633299. The next prime is 66633341. The reversal of 66633336 is 63333666.

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 self number, because there is not a number n which added to its sum of digits gives 66633336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 659686 + ... + 659786.

Almost surely, 2^66633336 is an apocalyptic number.

66633336 is a gapful number since it is divisible by the number (66) 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 66633336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122442840).

66633336 is an abundant number, since it is smaller than the sum of its proper divisors (178252344).

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

66633336 is a wasteful number, since it uses less digits than its factorization.

66633336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

The square root of 66633336 is about 8162.9244759461. The cubic root of 66633336 is about 405.4125471578.

It can be divided in two parts, 6663 and 3336, that added together give a palindrome (9999).

The spelling of 66633336 in words is "sixty-six million, six hundred thirty-three thousand, three hundred thirty-six".