5648382720 has 360 divisors, whose sum is σ = 20398294224. Its totient is φ = 1492328448.

The previous prime is 5648382697. The next prime is 5648382737. The reversal of 5648382720 is 272838465.

5648382720 is a `hidden beast` number, since 564 + 8 + 3 + 82 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16277587 + ... + 16277933.

Almost surely, 2^5648382720 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 5648382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10199147112).

5648382720 is an abundant number, since it is smaller than the sum of its proper divisors (14749911504).

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

5648382720 is a wasteful number, since it uses less digits than its factorization.

5648382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5648382720 is about 75155.7231353674. The cubic root of 5648382720 is about 1780.9075370432.

The spelling of 5648382720 in words is "five billion, six hundred forty-eight million, three hundred eighty-two thousand, seven hundred twenty".