6784404480 has 1056 divisors, whose sum is σ = 30042754560. Its totient is φ = 1433272320.

The previous prime is 6784404433. The next prime is 6784404509. The reversal of 6784404480 is 844044876.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165473260 + ... + 165473300.

Almost surely, 2^6784404480 is an apocalyptic number.

6784404480 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 6784404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15021377280).

6784404480 is an abundant number, since it is smaller than the sum of its proper divisors (23258350080).

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

6784404480 is a wasteful number, since it uses less digits than its factorization.

6784404480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 6784404480 is about 82367.4965019576. The cubic root of 6784404480 is about 1893.0870185862.

The spelling of 6784404480 in words is "six billion, seven hundred eighty-four million, four hundred four thousand, four hundred eighty".