6825610160 has 160 divisors (see below), whose sum is σ = 18101698560. Its totient is φ = 2377396224.

The previous prime is 6825610097. The next prime is 6825610213. The reversal of 6825610160 is 610165286.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6825610160.

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 31 ways as a sum of consecutive naturals, for example, 1108049 + ... + 1114191.

It is an arithmetic number, because the mean of its divisors is an integer number (113135616).

Almost surely, 2^6825610160 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 6825610160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9050849280).

6825610160 is an abundant number, since it is smaller than the sum of its proper divisors (11276088400).

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

6825610160 is a wasteful number, since it uses less digits than its factorization.

6825610160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6235 (or 6229 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 6825610160 is about 82617.2509830725. The cubic root of 6825610160 is about 1896.9118958488.

The spelling of 6825610160 in words is "six billion, eight hundred twenty-five million, six hundred ten thousand, one hundred sixty".