633572352 has 396 divisors, whose sum is σ = 2257038576. Its totient is φ = 170311680.

The previous prime is 633572341. The next prime is 633572377. The reversal of 633572352 is 253275336.

633572352 is a `hidden beast` number, since 6 + 33 + 572 + 3 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10386402 + ... + 10386462.

Almost surely, 2^633572352 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 633572352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128519288).

633572352 is an abundant number, since it is smaller than the sum of its proper divisors (1623466224).

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

633572352 is a wasteful number, since it uses less digits than its factorization.

633572352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its digits is 113400, while the sum is 36.

The square root of 633572352 is about 25170.8631556409. The cubic root of 633572352 is about 858.8791744561.

It can be divided in two parts, 6335 and 72352, that added together give a palindrome (78687).

The spelling of 633572352 in words is "six hundred thirty-three million, five hundred seventy-two thousand, three hundred fifty-two".