6821498880 has 624 divisors, whose sum is σ = 28704409344. Its totient is φ = 1462763520.

The previous prime is 6821498851. The next prime is 6821498899. The reversal of 6821498880 is 888941286.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21933925 + ... + 21934235.

It is an arithmetic number, because the mean of its divisors is an integer number (46000656).

Almost surely, 2^6821498880 is an apocalyptic number.

6821498880 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 6821498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14352204672).

6821498880 is an abundant number, since it is smaller than the sum of its proper divisors (21882910464).

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

6821498880 is a wasteful number, since it uses less digits than its factorization.

6821498880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 6821498880 is about 82592.3657488996. The cubic root of 6821498880 is about 1896.5309627605.

The spelling of 6821498880 in words is "six billion, eight hundred twenty-one million, four hundred ninety-eight thousand, eight hundred eighty".