6408709120 has 352 divisors, whose sum is σ = 18145918080. Its totient is φ = 2146959360.

The previous prime is 6408709093. The next prime is 6408709133. The reversal of 6408709120 is 219078046.

It is a tau number, because it is divible by the number of its divisors (352).

It is a self number, because there is not a number n which added to its sum of digits gives 6408709120.

It is a congruent number.

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, 56714184 + ... + 56714296.

Almost surely, 2^6408709120 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 6408709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072959040).

6408709120 is an abundant number, since it is smaller than the sum of its proper divisors (11737208960).

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

6408709120 is a wasteful number, since it uses less digits than its factorization.

6408709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 6408709120 is about 80054.4134948224. The cubic root of 6408709120 is about 1857.4773216034.

The spelling of 6408709120 in words is "six billion, four hundred eight million, seven hundred nine thousand, one hundred twenty".