642117344 has 48 divisors (see below), whose sum is σ = 1398040560. Its totient is φ = 287861760.

The previous prime is 642117317. The next prime is 642117389. The reversal of 642117344 is 443711246.

642117344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×642117344² = 824629366931228672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 642117344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13202 + ... + 38190.

It is an arithmetic number, because the mean of its divisors is an integer number (29125845).

Almost surely, 2^642117344 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 642117344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699020280).

642117344 is an abundant number, since it is smaller than the sum of its proper divisors (755923216).

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

642117344 is a wasteful number, since it uses less digits than its factorization.

642117344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25083 (or 25075 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 642117344 is about 25340.0344119735. The cubic root of 642117344 is about 862.7231797723.

The spelling of 642117344 in words is "six hundred forty-two million, one hundred seventeen thousand, three hundred forty-four".