642757248 has 192 divisors, whose sum is σ = 2181412800. Its totient is φ = 182518272.

The previous prime is 642757223. The next prime is 642757261. The reversal of 642757248 is 842757246.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 3943215 + ... + 3943377.

It is an arithmetic number, because the mean of its divisors is an integer number (11361525).

Almost surely, 2^642757248 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 642757248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090706400).

642757248 is an abundant number, since it is smaller than the sum of its proper divisors (1538655552).

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

642757248 is an equidigital number, since it uses as much as digits as its factorization.

642757248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 175 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 642757248 is about 25352.6576121715. The cubic root of 642757248 is about 863.0096677663.

The spelling of 642757248 in words is "six hundred forty-two million, seven hundred fifty-seven thousand, two hundred forty-eight".