642224700 has 432 divisors, whose sum is σ = 2388597120. Its totient is φ = 148366080.

The previous prime is 642224689. The next prime is 642224707. The reversal of 642224700 is 7422246.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642224707) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6002047 + ... + 6002153.

It is an arithmetic number, because the mean of its divisors is an integer number (5529160).

Almost surely, 2^642224700 is an apocalyptic number.

642224700 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 642224700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194298560).

642224700 is an abundant number, since it is smaller than the sum of its proper divisors (1746372420).

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

642224700 is a wasteful number, since it uses less digits than its factorization.

642224700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 642224700 is about 25342.1526315347. The cubic root of 642224700 is about 862.7712568356.

Adding to 642224700 its reverse (7422246), we get a palindrome (649646946).

The spelling of 642224700 in words is "six hundred forty-two million, two hundred twenty-four thousand, seven hundred".