5605632000 has 384 divisors, whose sum is σ = 20748873600. Its totient is φ = 1492992000.

The previous prime is 5605631989. The next prime is 5605632001. The reversal of 5605632000 is 2365065.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5605632000² = 62846220238848000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5605632001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6911595 + ... + 6912405.

It is an arithmetic number, because the mean of its divisors is an integer number (54033525).

Almost surely, 2^5605632000 is an apocalyptic number.

5605632000 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 5605632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10374436800).

5605632000 is an abundant number, since it is smaller than the sum of its proper divisors (15143241600).

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

5605632000 is an equidigital number, since it uses as much as digits as its factorization.

5605632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5605632000 is about 74870.7686617414. The cubic root of 5605632000 is about 1776.4031225158.

Adding to 5605632000 its reverse (2365065), we get a palindrome (5607997065).

The spelling of 5605632000 in words is "five billion, six hundred five million, six hundred thirty-two thousand".