642348048 has 160 divisors (see below), whose sum is σ = 1845596160. Its totient is φ = 191600640.

The previous prime is 642348011. The next prime is 642348121. The reversal of 642348048 is 840843246.

It is a super-2 number, since 2×642348048² = 825222029538820608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 642347997 and 642348015.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2370153 + ... + 2370423.

It is an arithmetic number, because the mean of its divisors is an integer number (11534976).

Almost surely, 2^642348048 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 642348048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922798080).

642348048 is an abundant number, since it is smaller than the sum of its proper divisors (1203248112).

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

642348048 is a wasteful number, since it uses less digits than its factorization.

642348048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 642348048 is about 25344.5861674639. The cubic root of 642348048 is about 862.8264889563.

The spelling of 642348048 in words is "six hundred forty-two million, three hundred forty-eight thousand, forty-eight".