5632338240 has 560 divisors, whose sum is σ = 21243340800. Its totient is φ = 1414361088.

The previous prime is 5632338191. The next prime is 5632338247. The reversal of 5632338240 is 428332365.

It is a happy number.

5632338240 is a `hidden beast` number, since 56 + 32 + 338 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5632338195 and 5632338204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5632338247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44349057 + ... + 44349183.

Almost surely, 2^5632338240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5632338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10621670400).

5632338240 is an abundant number, since it is smaller than the sum of its proper divisors (15611002560).

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

5632338240 is a wasteful number, since it uses less digits than its factorization.

5632338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5632338240 is about 75048.9056549128. The cubic root of 5632338240 is about 1779.2196891206.

The spelling of 5632338240 in words is "five billion, six hundred thirty-two million, three hundred thirty-eight thousand, two hundred forty".