643507200 has 792 divisors, whose sum is σ = 2893639200. Its totient is φ = 139345920.

The previous prime is 643507199. The next prime is 643507201. The reversal of 643507200 is 2705346.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (643507199) and next prime (643507201).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (643507201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33868791 + ... + 33868809.

Almost surely, 2^643507200 is an apocalyptic number.

643507200 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 643507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446819600).

643507200 is an abundant number, since it is smaller than the sum of its proper divisors (2250132000).

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

643507200 is a wasteful number, since it uses less digits than its factorization.

643507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 643507200 is about 25367.4437025097. The cubic root of 643507200 is about 863.3451828582.

The spelling of 643507200 in words is "six hundred forty-three million, five hundred seven thousand, two hundred".