632746656 has 72 divisors (see below), whose sum is σ = 1828922004. Its totient is φ = 207452160.

The previous prime is 632746651. The next prime is 632746663. The reversal of 632746656 is 656647236.

632746656 is a `hidden beast` number, since 632 + 7 + 4 + 6 + 6 + 5 + 6 = 666.

632746656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 580039056 + 52707600 = 24084^2 + 7260^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (632746651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 441 + ... + 35576.

Almost surely, 2^632746656 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 632746656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914461002).

632746656 is an abundant number, since it is smaller than the sum of its proper divisors (1196175348).

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

632746656 is a wasteful number, since it uses less digits than its factorization.

632746656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36094 (or 36083 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 632746656 is about 25154.4559869618. The cubic root of 632746656 is about 858.5059040665.

The spelling of 632746656 in words is "six hundred thirty-two million, seven hundred forty-six thousand, six hundred fifty-six".