5632552800 has 864 divisors, whose sum is σ = 24451435008. Its totient is φ = 1192181760.

The previous prime is 5632552769. The next prime is 5632552841. The reversal of 5632552800 is 82552365.

It is a happy number.

5632552800 is a `hidden beast` number, since 56 + 325 + 5 + 280 + 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 143 ways as a sum of consecutive naturals, for example, 49845544 + ... + 49845656.

It is an arithmetic number, because the mean of its divisors is an integer number (28300272).

Almost surely, 2^5632552800 is an apocalyptic number.

5632552800 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 5632552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12225717504).

5632552800 is an abundant number, since it is smaller than the sum of its proper divisors (18818882208).

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

5632552800 is a wasteful number, since it uses less digits than its factorization.

5632552800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5632552800 is about 75050.3351091786. The cubic root of 5632552800 is about 1779.2422815451.

The spelling of 5632552800 in words is "five billion, six hundred thirty-two million, five hundred fifty-two thousand, eight hundred".