5634705600 has 672 divisors, whose sum is σ = 22042160640. Its totient is φ = 1396961280.

The previous prime is 5634705599. The next prime is 5634705649. The reversal of 5634705600 is 65074365.

5634705600 is a `hidden beast` number, since 5 + 6 + 3 + 47 + 0 + 5 + 600 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52660747 + ... + 52660853.

Almost surely, 2^5634705600 is an apocalyptic number.

5634705600 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 5634705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11021080320).

5634705600 is an abundant number, since it is smaller than the sum of its proper divisors (16407455040).

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

5634705600 is a wasteful number, since it uses less digits than its factorization.

5634705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5634705600 is about 75064.6761133358. The cubic root of 5634705600 is about 1779.4689321733.

Adding to 5634705600 its reverse (65074365), we get a palindrome (5699779965).

The spelling of 5634705600 in words is "five billion, six hundred thirty-four million, seven hundred five thousand, six hundred".