6825098880 has 480 divisors, whose sum is σ = 25369104420. Its totient is φ = 1748459520.

The previous prime is 6825098857. The next prime is 6825098893. The reversal of 6825098880 is 888905286.

It can be written as a sum of positive squares in 2 ways, for example, as 6820117056 + 4981824 = 82584^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 49818172 + ... + 49818308.

Almost surely, 2^6825098880 is an apocalyptic number.

6825098880 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 6825098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12684552210).

6825098880 is an abundant number, since it is smaller than the sum of its proper divisors (18544005540).

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

6825098880 is a wasteful number, since it uses less digits than its factorization.

6825098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 6825098880 is about 82614.1566561083. The cubic root of 6825098880 is about 1896.8645312270.

The spelling of 6825098880 in words is "six billion, eight hundred twenty-five million, ninety-eight thousand, eight hundred eighty".