6320342400 has 192 divisors, whose sum is σ = 21913924800. Its totient is φ = 1596672000.

The previous prime is 6320342363. The next prime is 6320342407. The reversal of 6320342400 is 42430236.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6320342407) 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, 165075 + ... + 199725.

It is an arithmetic number, because the mean of its divisors is an integer number (114135025).

Almost surely, 2^6320342400 is an apocalyptic number.

6320342400 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 6320342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10956962400).

6320342400 is an abundant number, since it is smaller than the sum of its proper divisors (15593582400).

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

6320342400 is a wasteful number, since it uses less digits than its factorization.

6320342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34697 (or 34680 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 6320342400 is about 79500.5811299515. The cubic root of 6320342400 is about 1848.9004812958.

Adding to 6320342400 its reverse (42430236), we get a palindrome (6362772636).

The spelling of 6320342400 in words is "six billion, three hundred twenty million, three hundred forty-two thousand, four hundred".