6405734400 has 360 divisors, whose sum is σ = 22867171824. Its totient is φ = 1572864000.

The previous prime is 6405734323. The next prime is 6405734407. The reversal of 6405734400 is 44375046.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6405734407) 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, 15974200 + ... + 15974600.

Almost surely, 2^6405734400 is an apocalyptic number.

6405734400 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 6405734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11433585912).

6405734400 is an abundant number, since it is smaller than the sum of its proper divisors (16461437424).

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

6405734400 is a wasteful number, since it uses less digits than its factorization.

6405734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 6405734400 is about 80035.8319754346. The cubic root of 6405734400 is about 1857.1898830583.

The spelling of 6405734400 in words is "six billion, four hundred five million, seven hundred thirty-four thousand, four hundred".