633641680 has 160 divisors (see below), whose sum is σ = 1803098880. Its totient is φ = 202137600.

The previous prime is 633641653. The next prime is 633641681. The reversal of 633641680 is 86146336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633641681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 961191 + ... + 961849.

It is an arithmetic number, because the mean of its divisors is an integer number (11269368).

Almost surely, 2^633641680 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 633641680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901549440).

633641680 is an abundant number, since it is smaller than the sum of its proper divisors (1169457200).

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

633641680 is a wasteful number, since it uses less digits than its factorization.

633641680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 633641680 is about 25172.2402658166. The cubic root of 633641680 is about 858.9105006356.

The spelling of 633641680 in words is "six hundred thirty-three million, six hundred forty-one thousand, six hundred eighty".