6350328400 has 120 divisors (see below), whose sum is σ = 16656321080. Its totient is φ = 2312478720.

The previous prime is 6350328353. The next prime is 6350328403. The reversal of 6350328400 is 48230536.

It can be written as a sum of positive squares in 12 ways, for example, as 2130007104 + 4220321296 = 46152^2 + 64964^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6350328403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371236 + ... + 387964.

Almost surely, 2^6350328400 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 6350328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8328160540).

6350328400 is an abundant number, since it is smaller than the sum of its proper divisors (10305992680).

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

6350328400 is a wasteful number, since it uses less digits than its factorization.

6350328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16833 (or 16822 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 6350328400 is about 79688.9477907696. The cubic root of 6350328400 is about 1851.8198211605.

Adding to 6350328400 its reverse (48230536), we get a palindrome (6398558936).

The spelling of 6350328400 in words is "six billion, three hundred fifty million, three hundred twenty-eight thousand, four hundred".