643242600 has 1152 divisors, whose sum is σ = 3206044800. Its totient is φ = 116121600.

The previous prime is 643242577. The next prime is 643242629. The reversal of 643242600 is 6242346.

It is a super-2 number, since 2×643242600² = 827522084909520000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37837792 + ... + 37837808.

It is an arithmetic number, because the mean of its divisors is an integer number (2783025).

Almost surely, 2^643242600 is an apocalyptic number.

643242600 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 643242600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603022400).

643242600 is an abundant number, since it is smaller than the sum of its proper divisors (2562802200).

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

643242600 is a wasteful number, since it uses less digits than its factorization.

643242600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 643242600 is about 25362.2278201265. The cubic root of 643242600 is about 863.2268353334.

Adding to 643242600 its reverse (6242346), we get a palindrome (649484946).

The spelling of 643242600 in words is "six hundred forty-three million, two hundred forty-two thousand, six hundred".