6633952416 has 216 divisors, whose sum is σ = 23634109044. Its totient is φ = 1749565440.

The previous prime is 6633952393. The next prime is 6633952417. The reversal of 6633952416 is 6142593366.

6633952416 is a `hidden beast` number, since 6 + 633 + 9 + 5 + 2 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6625308816 + 8643600 = 81396^2 + 2940^2 .

It is not an unprimeable number, because it can be changed into a prime (6633952417) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 165376 + ... + 201536.

Almost surely, 2^6633952416 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 6633952416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11817054522).

6633952416 is an abundant number, since it is smaller than the sum of its proper divisors (17000156628).

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

6633952416 is a wasteful number, since it uses less digits than its factorization.

6633952416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36204 (or 36186 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 6633952416 is about 81449.0786688223. The cubic root of 6633952416 is about 1878.9884795473.

It can be divided in two parts, 66339 and 52416, that multiplied together give a square (3477225024 = 58968²).

The spelling of 6633952416 in words is "six billion, six hundred thirty-three million, nine hundred fifty-two thousand, four hundred sixteen".