633605506336 has 48 divisors (see below), whose sum is σ = 1379978244288. Its totient is φ = 283946118400.

The previous prime is 633605506327. The next prime is 633605506337.

It is a happy number.

633605506336 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×633605506336² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (633605506337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12651175 + ... + 12701158.

It is an arithmetic number, because the mean of its divisors is an integer number (28749546756).

Almost surely, 2^633605506336 is an apocalyptic number.

It is an amenable number.

633605506336 is an abundant number, since it is smaller than the sum of its proper divisors (746372737952).

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

633605506336 is a wasteful number, since it uses less digits than its factorization.

633605506336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25352425 (or 25352417 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 46.

The spelling of 633605506336 in words is "six hundred thirty-three billion, six hundred five million, five hundred six thousand, three hundred thirty-six".