5682409824 has 192 divisors, whose sum is σ = 18441561600. Its totient is φ = 1491886080.

The previous prime is 5682409807. The next prime is 5682409853. The reversal of 5682409824 is 4289042865.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2104027 + ... + 2106725.

It is an arithmetic number, because the mean of its divisors is an integer number (96049800).

Almost surely, 2^5682409824 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 5682409824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9220780800).

5682409824 is an abundant number, since it is smaller than the sum of its proper divisors (12759151776).

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

5682409824 is a wasteful number, since it uses less digits than its factorization.

5682409824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 5682409824 is about 75381.7605525368. The cubic root of 5682409824 is about 1784.4765730609.

The spelling of 5682409824 in words is "five billion, six hundred eighty-two million, four hundred nine thousand, eight hundred twenty-four".