642224000 has 256 divisors, whose sum is σ = 1804420800. Its totient is φ = 225280000.

The previous prime is 642223991. The next prime is 642224017. The reversal of 642224000 is 422246.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7215956 + ... + 7216044.

Almost surely, 2^642224000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902210400).

642224000 is an abundant number, since it is smaller than the sum of its proper divisors (1162196800).

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

642224000 is a wasteful number, since it uses less digits than its factorization.

642224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 642224000 is about 25342.1388205495. The cubic root of 642224000 is about 862.7709433731.

Adding to 642224000 its reverse (422246), we get a palindrome (642646246).

The spelling of 642224000 in words is "six hundred forty-two million, two hundred twenty-four thousand".