6819448896 has 336 divisors, whose sum is σ = 21727899648. Its totient is φ = 2032128000.

The previous prime is 6819448877. The next prime is 6819448927. The reversal of 6819448896 is 6988449186.

6819448896 is a `hidden beast` number, since 68 + 1 + 9 + 4 + 488 + 96 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53696385 + ... + 53696511.

It is an arithmetic number, because the mean of its divisors is an integer number (64666368).

Almost surely, 2^6819448896 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 6819448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10863949824).

6819448896 is an abundant number, since it is smaller than the sum of its proper divisors (14908450752).

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

6819448896 is a wasteful number, since it uses less digits than its factorization.

6819448896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 317 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The square root of 6819448896 is about 82579.9545652575. The cubic root of 6819448896 is about 1896.3409630884.

The spelling of 6819448896 in words is "six billion, eight hundred nineteen million, four hundred forty-eight thousand, eight hundred ninety-six".