6404465600 has 168 divisors, whose sum is σ = 17084375280. Its totient is φ = 2348974080.

The previous prime is 6404465593. The next prime is 6404465609. The reversal of 6404465600 is 65644046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6404465609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3389456 + ... + 3391344.

It is an arithmetic number, because the mean of its divisors is an integer number (101692710).

Almost surely, 2^6404465600 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 6404465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8542187640).

6404465600 is an abundant number, since it is smaller than the sum of its proper divisors (10679909680).

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

6404465600 is a wasteful number, since it uses less digits than its factorization.

6404465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 6404465600 is about 80027.9051331472. The cubic root of 6404465600 is about 1857.0672555305.

The spelling of 6404465600 in words is "six billion, four hundred four million, four hundred sixty-five thousand, six hundred".