6633612336400 has 135 divisors (see below), whose sum is σ = 18540262019439. Its totient is φ = 2274257744640.

The previous prime is 6633612336331. The next prime is 6633612336419. The reversal of 6633612336400 is 46332163366.

The square root of 6633612336400 is 2575580.

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

It can be written as a sum of positive squares in 4 ways, for example, as 707153173776 + 5926459162624 = 840924^2 + 2434432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 360572002 + ... + 360590398.

Almost surely, 2^{6633612336400} is an apocalyptic number.

6633612336400 is the 2575580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6633612336400

6633612336400 is an abundant number, since it is smaller than the sum of its proper divisors (11906649683039).

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

6633612336400 is an frugal number, since it uses more digits than its factorization.

6633612336400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36826 (or 18411 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 43.

Adding to 6633612336400 its reverse (46332163366), we get a palindrome (6679944499766).

The spelling of 6633612336400 in words is "six trillion, six hundred thirty-three billion, six hundred twelve million, three hundred thirty-six thousand, four hundred".