6483784320 has 448 divisors, whose sum is σ = 25050904200. Its totient is φ = 1594515456.

The previous prime is 6483784303. The next prime is 6483784327. The reversal of 6483784320 is 234873846.

It can be written as a sum of positive squares in 4 ways, for example, as 3950876736 + 2532907584 = 62856^2 + 50328^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6483784327) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 6064746 + ... + 6065814.

Almost surely, 2^6483784320 is an apocalyptic number.

6483784320 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 6483784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12525452100).

6483784320 is an abundant number, since it is smaller than the sum of its proper divisors (18567119880).

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

6483784320 is a wasteful number, since it uses less digits than its factorization.

6483784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 6483784320 is about 80521.9493057638. The cubic root of 6483784320 is about 1864.7023577026.

The spelling of 6483784320 in words is "six billion, four hundred eighty-three million, seven hundred eighty-four thousand, three hundred twenty".