5636562800 has 240 divisors, whose sum is σ = 15676139520. Its totient is φ = 1926144000.

The previous prime is 5636562793. The next prime is 5636562821. The reversal of 5636562800 is 82656365.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15967424 + ... + 15967776.

It is an arithmetic number, because the mean of its divisors is an integer number (65317248).

Almost surely, 2^5636562800 is an apocalyptic number.

5636562800 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 5636562800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838069760).

5636562800 is an abundant number, since it is smaller than the sum of its proper divisors (10039576720).

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

5636562800 is a wasteful number, since it uses less digits than its factorization.

5636562800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The square root of 5636562800 is about 75077.0457596728. The cubic root of 5636562800 is about 1779.6644151267.

The spelling of 5636562800 in words is "five billion, six hundred thirty-six million, five hundred sixty-two thousand, eight hundred".