6483300480 has 256 divisors, whose sum is σ = 23524300800. Its totient is φ = 1686528000.

The previous prime is 6483300463. The next prime is 6483300511. The reversal of 6483300480 is 840033846.

6483300480 is a `hidden beast` number, since 648 + 3 + 3 + 0 + 0 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×6483300480² = 84066370227936460800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703905 + ... + 713055.

It is an arithmetic number, because the mean of its divisors is an integer number (91891800).

Almost surely, 2^6483300480 is an apocalyptic number.

6483300480 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 6483300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11762150400).

6483300480 is an abundant number, since it is smaller than the sum of its proper divisors (17041000320).

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

6483300480 is a wasteful number, since it uses less digits than its factorization.

6483300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9220 (or 9202 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6483300480 is about 80518.9448515068. The cubic root of 6483300480 is about 1864.6559732668.

The spelling of 6483300480 in words is "six billion, four hundred eighty-three million, three hundred thousand, four hundred eighty".