6821480448 has 192 divisors, whose sum is σ = 20469758400. Its totient is φ = 2272333824.

The previous prime is 6821480441. The next prime is 6821480473. The reversal of 6821480448 is 8440841286.

6821480448 is a `hidden beast` number, since 68 + 2 + 148 + 0 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (6821480441) 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, 4478215 + ... + 4479737.

It is an arithmetic number, because the mean of its divisors is an integer number (106613325).

Almost surely, 2^6821480448 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 6821480448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10234879200).

6821480448 is an abundant number, since it is smaller than the sum of its proper divisors (13648277952).

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

6821480448 is an frugal number, since it uses more digits than its factorization.

6821480448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 6821480448 is about 82592.2541646612. The cubic root of 6821480448 is about 1896.5292545881.

The spelling of 6821480448 in words is "six billion, eight hundred twenty-one million, four hundred eighty thousand, four hundred forty-eight".