6825660352 has 112 divisors (see below), whose sum is σ = 16320503808. Its totient is φ = 2770421760.

The previous prime is 6825660337. The next prime is 6825660353. The reversal of 6825660352 is 2530665286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 6825660299 and 6825660308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6825660353) 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, 647508 + ... + 657964.

It is an arithmetic number, because the mean of its divisors is an integer number (145718784).

Almost surely, 2^6825660352 is an apocalyptic number.

6825660352 is a gapful number since it is divisible by the number (62) 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 6825660352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8160251904).

6825660352 is an abundant number, since it is smaller than the sum of its proper divisors (9494843456).

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

6825660352 is a wasteful number, since it uses less digits than its factorization.

6825660352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10554 (or 10544 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The square root of 6825660352 is about 82617.5547447393. The cubic root of 6825660352 is about 1896.9165454731.

The spelling of 6825660352 in words is "six billion, eight hundred twenty-five million, six hundred sixty thousand, three hundred fifty-two".