6325134400 has 168 divisors, whose sum is σ = 17001036864. Its totient is φ = 2302003200.

The previous prime is 6325134377. The next prime is 6325134401. The reversal of 6325134400 is 44315236.

It is not an unprimeable number, because it can be changed into a prime (6325134401) 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, 1474659 + ... + 1478941.

It is an arithmetic number, because the mean of its divisors is an integer number (101196648).

Almost surely, 2^6325134400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6325134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8500518432).

6325134400 is an abundant number, since it is smaller than the sum of its proper divisors (10675902464).

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

6325134400 is a wasteful number, since it uses less digits than its factorization.

6325134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4389 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 6325134400 is about 79530.7135640062. The cubic root of 6325134400 is about 1849.3676338817.

Adding to 6325134400 its reverse (44315236), we get a palindrome (6369449636).

The spelling of 6325134400 in words is "six billion, three hundred twenty-five million, one hundred thirty-four thousand, four hundred".