6350018400 has 216 divisors, whose sum is σ = 24427670904. Its totient is φ = 1539379200.

The previous prime is 6350018399. The next prime is 6350018401. The reversal of 6350018400 is 48100536.

It is an interprime number because it is at equal distance from previous prime (6350018399) and next prime (6350018401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6350018401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39112 + ... + 119288.

It is an arithmetic number, because the mean of its divisors is an integer number (113091069).

Almost surely, 2^6350018400 is an apocalyptic number.

6350018400 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 6350018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12213835452).

6350018400 is an abundant number, since it is smaller than the sum of its proper divisors (18077652504).

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

6350018400 is a wasteful number, since it uses less digits than its factorization.

6350018400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80214 (or 80198 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6350018400 is about 79687.0027043306. The cubic root of 6350018400 is about 1851.7896876278.

Adding to 6350018400 its reverse (48100536), we get a palindrome (6398118936).

The spelling of 6350018400 in words is "six billion, three hundred fifty million, eighteen thousand, four hundred".