5782645436600 has 192 divisors, whose sum is σ = 13828735216800. Its totient is φ = 2247459840000.

The previous prime is 5782645436597. The next prime is 5782645436621. The reversal of 5782645436600 is 66345462875.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3041895650 + ... + 3041897550.

Almost surely, 2^{5782645436600} is an apocalyptic number.

5782645436600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5782645436600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6914367608400).

5782645436600 is an abundant number, since it is smaller than the sum of its proper divisors (8046089780200).

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

5782645436600 is a wasteful number, since it uses less digits than its factorization.

5782645436600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 56.

The spelling of 5782645436600 in words is "five trillion, seven hundred eighty-two billion, six hundred forty-five million, four hundred thirty-six thousand, six hundred".