633664466336 has 72 divisors (see below), whose sum is σ = 1400424500160. Its totient is φ = 281900938880.

The previous prime is 633664466327. The next prime is 633664466363.

633664466336 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 1559006 + ... + 1922973.

It is an arithmetic number, because the mean of its divisors is an integer number (19450340280).

Almost surely, 2^633664466336 is an apocalyptic number.

It is an amenable number.

633664466336 is an abundant number, since it is smaller than the sum of its proper divisors (766760033824).

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

633664466336 is a wasteful number, since it uses less digits than its factorization.

633664466336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482058 (or 3482039 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 56.

The spelling of 633664466336 in words is "six hundred thirty-three billion, six hundred sixty-four million, four hundred sixty-six thousand, three hundred thirty-six".