5657832720 has 320 divisors, whose sum is σ = 20661177600. Its totient is φ = 1420554240.

The previous prime is 5657832709. The next prime is 5657832727. The reversal of 5657832720 is 272387565.

5657832720 is a `hidden beast` number, since 5 + 6 + 578 + 3 + 2 + 72 + 0 = 666.

It is a super-3 number, since 3×5657832720³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5657832727) 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, 2567139 + ... + 2569341.

It is an arithmetic number, because the mean of its divisors is an integer number (64566180).

Almost surely, 2^5657832720 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 5657832720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10330588800).

5657832720 is an abundant number, since it is smaller than the sum of its proper divisors (15003344880).

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

5657832720 is a wasteful number, since it uses less digits than its factorization.

5657832720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5657832720 is about 75218.5663250769. The cubic root of 5657832720 is about 1781.9001633238.

It can be divided in two parts, 56578 and 32720, that added together give a palindrome (89298).

The spelling of 5657832720 in words is "five billion, six hundred fifty-seven million, eight hundred thirty-two thousand, seven hundred twenty".