6314063400 has 144 divisors (see below), whose sum is σ = 21990259200. Its totient is φ = 1683737280.

The previous prime is 6314063333. The next prime is 6314063401. The reversal of 6314063400 is 43604136.

6314063400 is a `hidden beast` number, since 6 + 314 + 0 + 6 + 340 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6314063401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16360 + ... + 113559.

Almost surely, 2^6314063400 is an apocalyptic number.

6314063400 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 6314063400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10995129600).

6314063400 is an abundant number, since it is smaller than the sum of its proper divisors (15676195800).

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

6314063400 is a wasteful number, since it uses less digits than its factorization.

6314063400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129950 (or 129929 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6314063400 is about 79461.0810397140. The cubic root of 6314063400 is about 1848.2880095896.

Adding to 6314063400 its reverse (43604136), we get a palindrome (6357667536).

The spelling of 6314063400 in words is "six billion, three hundred fourteen million, sixty-three thousand, four hundred".