642201600 has 288 divisors, whose sum is σ = 2199702960. Its totient is φ = 165150720.

The previous prime is 642201589. The next prime is 642201613. The reversal of 642201600 is 6102246.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5683144 + ... + 5683256.

Almost surely, 2^642201600 is an apocalyptic number.

642201600 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 642201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099851480).

642201600 is an abundant number, since it is smaller than the sum of its proper divisors (1557501360).

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

642201600 is a wasteful number, since it uses less digits than its factorization.

642201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 642201600 is about 25341.6968650483. The cubic root of 642201600 is about 862.7609124525.

Adding to 642201600 its reverse (6102246), we get a palindrome (648303846).

The spelling of 642201600 in words is "six hundred forty-two million, two hundred one thousand, six hundred".