6480224800 has 72 divisors (see below), whose sum is σ = 18079842816. Its totient is φ = 2221789440.

The previous prime is 6480224789. The next prime is 6480224809. The reversal of 6480224800 is 84220846.

It is a super-3 number, since 3×6480224800³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6480224809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 572992 + ... + 584191.

It is an arithmetic number, because the mean of its divisors is an integer number (251108928).

Almost surely, 2^6480224800 is an apocalyptic number.

It is an amenable number.

6480224800 is an abundant number, since it is smaller than the sum of its proper divisors (11599618016).

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

6480224800 is a wasteful number, since it uses less digits than its factorization.

6480224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157210 (or 1157197 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 6480224800 is about 80499.8434781087. The cubic root of 6480224800 is about 1864.3610621461.

The spelling of 6480224800 in words is "six billion, four hundred eighty million, two hundred twenty-four thousand, eight hundred".