633612672 has 256 divisors, whose sum is σ = 2332454400. Its totient is φ = 164505600.

The previous prime is 633612667. The next prime is 633612709. The reversal of 633612672 is 276216336.

633612672 is a `hidden beast` number, since 6 + 33 + 612 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264922 + ... + 267302.

It is an arithmetic number, because the mean of its divisors is an integer number (9111150).

Almost surely, 2^633612672 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 633612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166227200).

633612672 is an abundant number, since it is smaller than the sum of its proper divisors (1698841728).

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

633612672 is a wasteful number, since it uses less digits than its factorization.

633612672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2404 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 633612672 is about 25171.6640689486. The cubic root of 633612672 is about 858.8973935139.

The spelling of 633612672 in words is "six hundred thirty-three million, six hundred twelve thousand, six hundred seventy-two".