6805582416 has 70 divisors (see below), whose sum is σ = 19769714010. Its totient is φ = 2268523584.

The previous prime is 6805582411. The next prime is 6805582429. The reversal of 6805582416 is 6142855086.

6805582416 is a `hidden beast` number, since 6 + 80 + 558 + 2 + 4 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5473040400 + 1332542016 = 73980^2 + 36504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6805582411) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 280071 + ... + 303398.

Almost surely, 2^6805582416 is an apocalyptic number.

It is an amenable number.

6805582416 is an abundant number, since it is smaller than the sum of its proper divisors (12964131594).

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

6805582416 is an equidigital number, since it uses as much as digits as its factorization.

6805582416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583495 (or 583474 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 6805582416 is about 82495.9539371477. The cubic root of 6805582416 is about 1895.0547683876.

The spelling of 6805582416 in words is "six billion, eight hundred five million, five hundred eighty-two thousand, four hundred sixteen".