633040272 has 160 divisors (see below), whose sum is σ = 1870912000. Its totient is φ = 207432576.

The previous prime is 633040267. The next prime is 633040273. The reversal of 633040272 is 272040336.

633040272 is a `hidden beast` number, since 633 + 0 + 4 + 0 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (633040273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2764254 + ... + 2764482.

It is an arithmetic number, because the mean of its divisors is an integer number (11693200).

Almost surely, 2^633040272 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 633040272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935456000).

633040272 is an abundant number, since it is smaller than the sum of its proper divisors (1237871728).

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

633040272 is an equidigital number, since it uses as much as digits as its factorization.

633040272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 633040272 is about 25160.2915722374. The cubic root of 633040272 is about 858.6386755254.

The spelling of 633040272 in words is "six hundred thirty-three million, forty thousand, two hundred seventy-two".