5601636000 has 672 divisors, whose sum is σ = 22042592208. Its totient is φ = 1393459200.

The previous prime is 5601635999. The next prime is 5601636041. The reversal of 5601636000 is 6361065.

5601636000 is a `hidden beast` number, since 56 + 0 + 1 + 6 + 3 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11664 + 5601624336 = 108^2 + 74844^2 .

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

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 49571944 + ... + 49572056.

Almost surely, 2^5601636000 is an apocalyptic number.

5601636000 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 5601636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11021296104).

5601636000 is an abundant number, since it is smaller than the sum of its proper divisors (16440956208).

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

5601636000 is a wasteful number, since it uses less digits than its factorization.

5601636000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5601636000 is about 74844.0779220374. The cubic root of 5601636000 is about 1775.9809165225.

Adding to 5601636000 its reverse (6361065), we get a palindrome (5607997065).

It can be divided in two parts, 5601 and 636000, that added together give a square (641601 = 801²).

The spelling of 5601636000 in words is "five billion, six hundred one million, six hundred thirty-six thousand".