6403608000 has 672 divisors, whose sum is σ = 25055047680. Its totient is φ = 1555200000.

The previous prime is 6403607963. The next prime is 6403608007. The reversal of 6403608000 is 8063046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6403608007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42407925 + ... + 42408075.

Almost surely, 2^6403608000 is an apocalyptic number.

6403608000 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 6403608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12527523840).

6403608000 is an abundant number, since it is smaller than the sum of its proper divisors (18651439680).

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

6403608000 is a wasteful number, since it uses less digits than its factorization.

6403608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6403608000 is about 80022.5468227549. The cubic root of 6403608000 is about 1856.9843606635.

The spelling of 6403608000 in words is "six billion, four hundred three million, six hundred eight thousand".