633482881668 has 288 divisors, whose sum is σ = 2052637816320. Its totient is φ = 160265226240.

The previous prime is 633482881667. The next prime is 633482881679. The reversal of 633482881668 is 866188284336.

633482881668 is a `hidden beast` number, since 6 + 3 + 3 + 482 + 88 + 16 + 68 = 666.

It is a super-2 number, since 2×633482881668² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (633482881667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8569248 + ... + 8642856.

It is an arithmetic number, because the mean of its divisors is an integer number (7127214640).

Almost surely, 2^633482881668 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 633482881668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026318908160).

633482881668 is an abundant number, since it is smaller than the sum of its proper divisors (1419154934652).

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

633482881668 is a wasteful number, since it uses less digits than its factorization.

633482881668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73747 (or 73742 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 633482881668 in words is "six hundred thirty-three billion, four hundred eighty-two million, eight hundred eighty-one thousand, six hundred sixty-eight".