642205600 has 72 divisors (see below), whose sum is σ = 1660042188. Its totient is φ = 241766400.

The previous prime is 642205541. The next prime is 642205649. The reversal of 642205600 is 6502246.

It can be written as a sum of positive squares in 6 ways, for example, as 223921296 + 418284304 = 14964^2 + 20452^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10011 + ... + 37210.

Almost surely, 2^642205600 is an apocalyptic number.

It is an amenable number.

642205600 is an abundant number, since it is smaller than the sum of its proper divisors (1017836588).

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

642205600 is a wasteful number, since it uses less digits than its factorization.

642205600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47258 (or 47245 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 642205600 is about 25341.7757862388. The cubic root of 642205600 is about 862.7627037054.

Adding to 642205600 its reverse (6502246), we get a palindrome (648707846).

The spelling of 642205600 in words is "six hundred forty-two million, two hundred five thousand, six hundred".