5682406752 has 144 divisors (see below), whose sum is σ = 17684896320. Its totient is φ = 1716422400.

The previous prime is 5682406739. The next prime is 5682406799. The reversal of 5682406752 is 2576042865.

5682406752 is a `hidden beast` number, since 568 + 24 + 0 + 67 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 5682406698 and 5682406707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1045899 + ... + 1051317.

It is an arithmetic number, because the mean of its divisors is an integer number (122811780).

Almost surely, 2^5682406752 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 5682406752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8842448160).

5682406752 is an abundant number, since it is smaller than the sum of its proper divisors (12002489568).

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

5682406752 is a wasteful number, since it uses less digits than its factorization.

5682406752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5682406752 is about 75381.7401762522. The cubic root of 5682406752 is about 1784.4762514889.

The spelling of 5682406752 in words is "five billion, six hundred eighty-two million, four hundred six thousand, seven hundred fifty-two".