5682895680 has 672 divisors, whose sum is σ = 23544702720. Its totient is φ = 1135411200.

The previous prime is 5682895667. The next prime is 5682895693. The reversal of 5682895680 is 865982865.

It is an interprime number because it is at equal distance from previous prime (5682895667) and next prime (5682895693).

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 5682895680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23580360 + ... + 23580600.

It is an arithmetic number, because the mean of its divisors is an integer number (35036760).

Almost surely, 2^5682895680 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 5682895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11772351360).

5682895680 is an abundant number, since it is smaller than the sum of its proper divisors (17861807040).

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

5682895680 is a wasteful number, since it uses less digits than its factorization.

5682895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 57.

The square root of 5682895680 is about 75384.9831199822. The cubic root of 5682895680 is about 1784.5274302364.

The spelling of 5682895680 in words is "five billion, six hundred eighty-two million, eight hundred ninety-five thousand, six hundred eighty".