6394214400 has 576 divisors, whose sum is σ = 25510867200. Its totient is φ = 1380188160.

The previous prime is 6394214357. The next prime is 6394214447. The reversal of 6394214400 is 44124936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20428644 + ... + 20428956.

It is an arithmetic number, because the mean of its divisors is an integer number (44289700).

Almost surely, 2^6394214400 is an apocalyptic number.

6394214400 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 6394214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12755433600).

6394214400 is an abundant number, since it is smaller than the sum of its proper divisors (19116652800).

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

6394214400 is a wasteful number, since it uses less digits than its factorization.

6394214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 6394214400 is about 79963.8318241441. The cubic root of 6394214400 is about 1856.0758986005.

The spelling of 6394214400 in words is "six billion, three hundred ninety-four million, two hundred fourteen thousand, four hundred".