6825986949360 has 320 divisors, whose sum is σ = 22905333964800. Its totient is φ = 1675028791296.

The previous prime is 6825986949359. The next prime is 6825986949373. The reversal of 6825986949360 is 639496895286.

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 63 ways as a sum of consecutive naturals, for example, 193468201 + ... + 193503479.

It is an arithmetic number, because the mean of its divisors is an integer number (71579168640).

Almost surely, 2^{6825986949360} is an apocalyptic number.

6825986949360 is a gapful number since it is divisible by the number (60) 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 6825986949360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11452666982400).

6825986949360 is an abundant number, since it is smaller than the sum of its proper divisors (16079347015440).

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

6825986949360 is a wasteful number, since it uses less digits than its factorization.

6825986949360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36368 (or 36362 counting only the distinct ones).

The product of its (nonzero) digits is 1209323520, while the sum is 75.

The spelling of 6825986949360 in words is "six trillion, eight hundred twenty-five billion, nine hundred eighty-six million, nine hundred forty-nine thousand, three hundred sixty".