633296664 has 512 divisors, whose sum is σ = 2467584000. Its totient is φ = 145152000.

The previous prime is 633296639. The next prime is 633296669. The reversal of 633296664 is 466692336.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633296669) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 6270214 + ... + 6270314.

It is an arithmetic number, because the mean of its divisors is an integer number (4819500).

Almost surely, 2^633296664 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 633296664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233792000).

633296664 is an abundant number, since it is smaller than the sum of its proper divisors (1834287336).

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

633296664 is a wasteful number, since it uses less digits than its factorization.

633296664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 633296664 is about 25165.3862279123. The cubic root of 633296664 is about 858.7545809332.

The spelling of 633296664 in words is "six hundred thirty-three million, two hundred ninety-six thousand, six hundred sixty-four".