5625633600 has 168 divisors, whose sum is σ = 20507675520. Its totient is φ = 1500157440.

The previous prime is 5625633569. The next prime is 5625633623. The reversal of 5625633600 is 63365265.

5625633600 is a `hidden beast` number, since 5 + 62 + 563 + 36 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21912 + ... + 108311.

Almost surely, 2^5625633600 is an apocalyptic number.

5625633600 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 5625633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10253837760).

5625633600 is an abundant number, since it is smaller than the sum of its proper divisors (14882041920).

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

5625633600 is a wasteful number, since it uses less digits than its factorization.

5625633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130254 (or 130233 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 5625633600 is about 75004.2238810589. The cubic root of 5625633600 is about 1778.5134244817.

Adding to 5625633600 its reverse (63365265), we get a palindrome (5688998865).

The spelling of 5625633600 in words is "five billion, six hundred twenty-five million, six hundred thirty-three thousand, six hundred".