6409624800 has 72 divisors (see below), whose sum is σ = 20863336536. Its totient is φ = 1709232640.

The previous prime is 6409624799. The next prime is 6409624841. The reversal of 6409624800 is 84269046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1332939 + ... + 1337738.

It is an arithmetic number, because the mean of its divisors is an integer number (289768563).

Almost surely, 2^6409624800 is an apocalyptic number.

6409624800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6409624800 is an abundant number, since it is smaller than the sum of its proper divisors (14453711736).

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

6409624800 is a wasteful number, since it uses less digits than its factorization.

6409624800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670700 (or 2670687 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 6409624800 is about 80060.1324005900. The cubic root of 6409624800 is about 1857.5657831953.

The spelling of 6409624800 in words is "six billion, four hundred nine million, six hundred twenty-four thousand, eight hundred".