633748752 has 400 divisors, whose sum is σ = 2334017280. Its totient is φ = 163586304.

The previous prime is 633748721. The next prime is 633748789. The reversal of 633748752 is 257847336.

633748752 is a `hidden beast` number, since 633 + 7 + 4 + 8 + 7 + 5 + 2 = 666.

Its product of digits (846720) is a multiple of the sum of its prime divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 633748698 and 633748707.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 13483993 + ... + 13484039.

Almost surely, 2^633748752 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 633748752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167008640).

633748752 is an abundant number, since it is smaller than the sum of its proper divisors (1700268528).

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

633748752 is a wasteful number, since it uses less digits than its factorization.

633748752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 633748752 is about 25174.3669632426. The cubic root of 633748752 is about 858.9588771279.

The spelling of 633748752 in words is "six hundred thirty-three million, seven hundred forty-eight thousand, seven hundred fifty-two".