5637632000 has 624 divisors, whose sum is σ = 19034049216. Its totient is φ = 1622016000.

The previous prime is 5637631997. The next prime is 5637632009. The reversal of 5637632000 is 2367365.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5637632009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433663994 + ... + 433664006.

It is an arithmetic number, because the mean of its divisors is an integer number (30503284).

Almost surely, 2^5637632000 is an apocalyptic number.

5637632000 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 5637632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9517024608).

5637632000 is an abundant number, since it is smaller than the sum of its proper divisors (13396417216).

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

5637632000 is a wasteful number, since it uses less digits than its factorization.

5637632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

The square root of 5637632000 is about 75084.1661071094. The cubic root of 5637632000 is about 1779.7769362356.

Adding to 5637632000 its reverse (2367365), we get a palindrome (5639999365).

The spelling of 5637632000 in words is "five billion, six hundred thirty-seven million, six hundred thirty-two thousand".