6409604520 has 640 divisors, whose sum is σ = 25404192000. Its totient is φ = 1432166400.

The previous prime is 6409604519. The next prime is 6409604543. The reversal of 6409604520 is 254069046.

6409604520 is a `hidden beast` number, since 6 + 40 + 9 + 604 + 5 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43017406 + ... + 43017554.

It is an arithmetic number, because the mean of its divisors is an integer number (39694050).

Almost surely, 2^6409604520 is an apocalyptic number.

6409604520 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 6409604520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12702096000).

6409604520 is an abundant number, since it is smaller than the sum of its proper divisors (18994587480).

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

6409604520 is a wasteful number, since it uses less digits than its factorization.

6409604520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6409604520 is about 80060.0057456905. The cubic root of 6409604520 is about 1857.5638240857.

The spelling of 6409604520 in words is "six billion, four hundred nine million, six hundred four thousand, five hundred twenty".