642722304 has 240 divisors, whose sum is σ = 2063742912. Its totient is φ = 174096384.

The previous prime is 642722263. The next prime is 642722309. The reversal of 642722304 is 403227246.

It is not an unprimeable number, because it can be changed into a prime (642722309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5687752 + ... + 5687864.

Almost surely, 2^642722304 is an apocalyptic number.

642722304 is a gapful number since it is divisible by the number (64) 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 642722304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031871456).

642722304 is an abundant number, since it is smaller than the sum of its proper divisors (1421020608).

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

642722304 is a wasteful number, since it uses less digits than its factorization.

642722304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 642722304 is about 25351.9684442846. The cubic root of 642722304 is about 862.9940280846.

The spelling of 642722304 in words is "six hundred forty-two million, seven hundred twenty-two thousand, three hundred four".