642144832 has 56 divisors (see below), whose sum is σ = 1487326464. Its totient is φ = 269340672.

The previous prime is 642144827. The next prime is 642144847. The reversal of 642144832 is 238441246.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 5808 + ... + 36304.

Almost surely, 2^642144832 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 642144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743663232).

642144832 is an abundant number, since it is smaller than the sum of its proper divisors (845181632).

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

642144832 is a wasteful number, since it uses less digits than its factorization.

642144832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30563 (or 30553 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 642144832 is about 25340.5767890157. The cubic root of 642144832 is about 862.7354901891.

The spelling of 642144832 in words is "six hundred forty-two million, one hundred forty-four thousand, eight hundred thirty-two".