6364800 has 288 divisors, whose sum is σ = 25896780. Its totient is φ = 1474560.

The previous prime is 6364789. The next prime is 6364807. The reversal of 6364800 is 84636.

Added to its reverse (84636) it gives a triangular number (6449436 = T₃₅₉₁).

It can be written as a sum of positive squares in 6 ways, for example, as 2005056 + 4359744 = 1416^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6364807) 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, 374392 + ... + 374408.

Almost surely, 2^6364800 is an apocalyptic number.

6364800 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 6364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12948390).

6364800 is an abundant number, since it is smaller than the sum of its proper divisors (19531980).

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

6364800 is a wasteful number, since it uses less digits than its factorization.

6364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6364800 is about 2522.8555249954. The cubic root of 6364800 is about 185.3225442138.

Adding to 6364800 its reverse (84636), we get a triangular number (6449436 = T₃₅₉₁).

The spelling of 6364800 in words is "six million, three hundred sixty-four thousand, eight hundred".