5335634304 has 576 divisors, whose sum is σ = 21014819280. Its totient is φ = 1277337600.

The previous prime is 5335634303. The next prime is 5335634387. The reversal of 5335634304 is 4034365335.

5335634304 is a `hidden beast` number, since 53 + 3 + 563 + 43 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5335634303) 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 71 ways as a sum of consecutive naturals, for example, 8071734 + ... + 8072394.

Almost surely, 2^5335634304 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 5335634304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10507409640).

5335634304 is an abundant number, since it is smaller than the sum of its proper divisors (15679184976).

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

5335634304 is a wasteful number, since it uses less digits than its factorization.

5335634304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

The square root of 5335634304 is about 73045.4263044580. The cubic root of 5335634304 is about 1747.4121537254.

Adding to 5335634304 its reverse (4034365335), we get a palindrome (9369999639).

The spelling of 5335634304 in words is "five billion, three hundred thirty-five million, six hundred thirty-four thousand, three hundred four".