643315200 has 240 divisors, whose sum is σ = 2319869376. Its totient is φ = 155852800.

The previous prime is 643315181. The next prime is 643315223. The reversal of 643315200 is 2513346.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421639 + ... + 423161.

Almost surely, 2^643315200 is an apocalyptic number.

643315200 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 643315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159934688).

643315200 is an abundant number, since it is smaller than the sum of its proper divisors (1676554176).

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

643315200 is a wasteful number, since it uses less digits than its factorization.

643315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 643315200 is about 25363.6590420231. The cubic root of 643315200 is about 863.2593103335.

Adding to 643315200 its reverse (2513346), we get a palindrome (645828546).

The spelling of 643315200 in words is "six hundred forty-three million, three hundred fifteen thousand, two hundred".