633845268736 has 81 divisors (see below), whose sum is σ = 1344476207389. Its totient is φ = 298178220032.

The previous prime is 633845268731. The next prime is 633845268751. The reversal of 633845268736 is 637862548336.

The square root of 633845268736 is 796144.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 493478150400 + 140367118336 = 702480^2 + 374656^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (633845268731) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 216549705 + ... + 216552631.

Almost surely, 2^633845268736 is an apocalyptic number.

633845268736 is the 796144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 633845268736

633845268736 is an abundant number, since it is smaller than the sum of its proper divisors (710630938653).

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

633845268736 is an frugal number, since it uses more digits than its factorization.

633845268736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5904 (or 2946 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 61.

The spelling of 633845268736 in words is "six hundred thirty-three billion, eight hundred forty-five million, two hundred sixty-eight thousand, seven hundred thirty-six".