66867633 has 16 divisors (see below), whose sum is σ = 113215360. Its totient is φ = 38209968.

The previous prime is 66867611. The next prime is 66867641. The reversal of 66867633 is 33676866.

66867633 is a `hidden beast` number, since 6 + 6 + 8 + 6 + 7 + 633 = 666.

It is not a de Polignac number, because 66867633 - 2⁹ = 66867121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66867683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176710 + ... + 177087.

It is an arithmetic number, because the mean of its divisors is an integer number (7075960).

Almost surely, 2^66867633 is an apocalyptic number.

66867633 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

66867633 is a deficient number, since it is larger than the sum of its proper divisors (46347727).

66867633 is a wasteful number, since it uses less digits than its factorization.

66867633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353813 (or 353807 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 66867633 is about 8177.2631729693. The cubic root of 66867633 is about 405.8871635925.

The spelling of 66867633 in words is "sixty-six million, eight hundred sixty-seven thousand, six hundred thirty-three".