5632541280 has 384 divisors, whose sum is σ = 20565135360. Its totient is φ = 1438248960.

The previous prime is 5632541261. The next prime is 5632541281. The reversal of 5632541280 is 821452365.

5632541280 is a `hidden beast` number, since 5 + 6 + 32 + 541 + 2 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5632541281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18346887 + ... + 18347193.

It is an arithmetic number, because the mean of its divisors is an integer number (53555040).

Almost surely, 2^5632541280 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 5632541280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10282567680).

5632541280 is an abundant number, since it is smaller than the sum of its proper divisors (14932594080).

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

5632541280 is a wasteful number, since it uses less digits than its factorization.

5632541280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5632541280 is about 75050.2583606479. The cubic root of 5632541280 is about 1779.2410685436.

The spelling of 5632541280 in words is "five billion, six hundred thirty-two million, five hundred forty-one thousand, two hundred eighty".