642441600 has 144 divisors (see below), whose sum is σ = 2292481620. Its totient is φ = 171310080.

The previous prime is 642441593. The next prime is 642441601. The reversal of 642441600 is 6144246.

642441600 is a `hidden beast` number, since 642 + 4 + 4 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642441601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17647 + ... + 39953.

Almost surely, 2^642441600 is an apocalyptic number.

642441600 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 642441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146240810).

642441600 is an abundant number, since it is smaller than the sum of its proper divisors (1650040020).

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

642441600 is a wasteful number, since it uses less digits than its factorization.

642441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22337 (or 22317 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 642441600 is about 25346.4317015236. The cubic root of 642441600 is about 862.8683744656.

Adding to 642441600 its reverse (6144246), we get a palindrome (648585846).

The spelling of 642441600 in words is "six hundred forty-two million, four hundred forty-one thousand, six hundred".