6403400632320 has 384 divisors, whose sum is σ = 21175342755840. Its totient is φ = 1650253824000.

The previous prime is 6403400632283. The next prime is 6403400632333. The reversal of 6403400632320 is 232360043046.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772327375 + ... + 772335665.

It is an arithmetic number, because the mean of its divisors is an integer number (55144121760).

Almost surely, 2^{6403400632320} is an apocalyptic number.

6403400632320 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 6403400632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10587671377920).

6403400632320 is an abundant number, since it is smaller than the sum of its proper divisors (14771942123520).

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

6403400632320 is a wasteful number, since it uses less digits than its factorization.

6403400632320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9163 (or 9143 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 6403400632320 its reverse (232360043046), we get a palindrome (6635760675366).

The spelling of 6403400632320 in words is "six trillion, four hundred three billion, four hundred million, six hundred thirty-two thousand, three hundred twenty".