5626723200 has 768 divisors, whose sum is σ = 22762352640. Its totient is φ = 1194393600.

The previous prime is 5626723187. The next prime is 5626723211. The reversal of 5626723200 is 23276265.

It is a happy number.

It is a congruent number.

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, 77078364 + ... + 77078436.

It is an arithmetic number, because the mean of its divisors is an integer number (29638480).

Almost surely, 2^5626723200 is an apocalyptic number.

5626723200 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 5626723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11381176320).

5626723200 is an abundant number, since it is smaller than the sum of its proper divisors (17135629440).

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

5626723200 is a wasteful number, since it uses less digits than its factorization.

5626723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 5626723200 is about 75011.4871203071. The cubic root of 5626723200 is about 1778.6282407712.

Adding to 5626723200 its reverse (23276265), we get a palindrome (5649999465).

The spelling of 5626723200 in words is "five billion, six hundred twenty-six million, seven hundred twenty-three thousand, two hundred".