6403234656000 has 576 divisors, whose sum is σ = 26176458986496. Its totient is φ = 1351010304000.

The previous prime is 6403234655999. The next prime is 6403234656017. The reversal of 6403234656000 is 6564323046.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 6403234656000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8369515 + ... + 9102485.

It is an arithmetic number, because the mean of its divisors is an integer number (45445241296).

Almost surely, 2^{6403234656000} is an apocalyptic number.

6403234656000 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 6403234656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13088229493248).

6403234656000 is an abundant number, since it is smaller than the sum of its proper divisors (19773224330496).

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

6403234656000 is a wasteful number, since it uses less digits than its factorization.

6403234656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733025 (or 733001 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

Adding to 6403234656000 its reverse (6564323046), we get a palindrome (6409798979046).

The spelling of 6403234656000 in words is "six trillion, four hundred three billion, two hundred thirty-four million, six hundred fifty-six thousand".