5635904400 has 480 divisors, whose sum is σ = 23145185280. Its totient is φ = 1275886080.

The previous prime is 5635904387. The next prime is 5635904419. The reversal of 5635904400 is 44095365.

It is a happy number.

5635904400 is a `hidden beast` number, since 5 + 63 + 590 + 4 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9600907 + ... + 9601493.

It is an arithmetic number, because the mean of its divisors is an integer number (48219136).

Almost surely, 2^5635904400 is an apocalyptic number.

5635904400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5635904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11572592640).

5635904400 is an abundant number, since it is smaller than the sum of its proper divisors (17509280880).

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

5635904400 is a wasteful number, since it uses less digits than its factorization.

5635904400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5635904400 is about 75072.6608027183. The cubic root of 5635904400 is about 1779.5951189546.

Adding to 5635904400 its reverse (44095365), we get a palindrome (5679999765).

The spelling of 5635904400 in words is "five billion, six hundred thirty-five million, nine hundred four thousand, four hundred".