6409573120 has 144 divisors (see below), whose sum is σ = 15879280032. Its totient is φ = 2477260800.

The previous prime is 6409573103. The next prime is 6409573129. The reversal of 6409573120 is 213759046.

It is a self number, because there is not a number n which added to its sum of digits gives 6409573120.

It is not an unprimeable number, because it can be changed into a prime (6409573129) 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 15 ways as a sum of consecutive naturals, for example, 5558464 + ... + 5559616.

It is an arithmetic number, because the mean of its divisors is an integer number (110272778).

Almost surely, 2^6409573120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6409573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7939640016).

6409573120 is an abundant number, since it is smaller than the sum of its proper divisors (9469706912).

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

6409573120 is a wasteful number, since it uses less digits than its factorization.

6409573120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 6409573120 is about 80059.8096425416. The cubic root of 6409573120 is about 1857.5607907420.

The spelling of 6409573120 in words is "six billion, four hundred nine million, five hundred seventy-three thousand, one hundred twenty".