642755300 has 72 divisors (see below), whose sum is σ = 1535339232. Its totient is φ = 231616000.

The previous prime is 642755287. The next prime is 642755303. The reversal of 642755300 is 3557246.

It is not an unprimeable number, because it can be changed into a prime (642755303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121715 + ... + 126885.

It is an arithmetic number, because the mean of its divisors is an integer number (21324156).

Almost surely, 2^642755300 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 642755300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767669616).

642755300 is an abundant number, since it is smaller than the sum of its proper divisors (892583932).

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

642755300 is a wasteful number, since it uses less digits than its factorization.

642755300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5309 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 642755300 is about 25352.6191940793. The cubic root of 642755300 is about 863.0087959263.

The spelling of 642755300 in words is "six hundred forty-two million, seven hundred fifty-five thousand, three hundred".