5636400000 has 768 divisors, whose sum is σ = 23713482240. Its totient is φ = 1152000000.

The previous prime is 5636399917. The next prime is 5636400013. The reversal of 5636400000 is 46365.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 92399970 + ... + 92400030.

It is an arithmetic number, because the mean of its divisors is an integer number (30876930).

Almost surely, 2^5636400000 is an apocalyptic number.

5636400000 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 5636400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11856741120).

5636400000 is an abundant number, since it is smaller than the sum of its proper divisors (18077082240).

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

5636400000 is an equidigital number, since it uses as much as digits as its factorization.

5636400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5636400000 is about 75075.9615323041. The cubic root of 5636400000 is about 1779.6472810347.

Adding to 5636400000 its reverse (46365), we get a palindrome (5636446365).

The spelling of 5636400000 in words is "five billion, six hundred thirty-six million, four hundred thousand".