6825605784 has 64 divisors (see below), whose sum is σ = 17565776640. Its totient is φ = 2208585600.

The previous prime is 6825605719. The next prime is 6825605789. The reversal of 6825605784 is 4875065286.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6825605789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384709 + ... + 402059.

It is an arithmetic number, because the mean of its divisors is an integer number (274465260).

Almost surely, 2^6825605784 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 6825605784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8782888320).

6825605784 is an abundant number, since it is smaller than the sum of its proper divisors (10740170856).

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

6825605784 is a wasteful number, since it uses less digits than its factorization.

6825605784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17840 (or 17836 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The square root of 6825605784 is about 82617.2244994953. The cubic root of 6825605784 is about 1896.9114904692.

The spelling of 6825605784 in words is "six billion, eight hundred twenty-five million, six hundred five thousand, seven hundred eighty-four".