641842848 has 288 divisors, whose sum is σ = 2031644160. Its totient is φ = 191600640.

The previous prime is 641842843. The next prime is 641842849. The reversal of 641842848 is 848248146.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×641842848² = 823924483057502208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (641842841) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9579711 + ... + 9579777.

It is an arithmetic number, because the mean of its divisors is an integer number (7054320).

Almost surely, 2^641842848 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 641842848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015822080).

641842848 is an abundant number, since it is smaller than the sum of its proper divisors (1389801312).

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

641842848 is a wasteful number, since it uses less digits than its factorization.

641842848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 641842848 is about 25334.6175814832. The cubic root of 641842848 is about 862.6002283019.

The spelling of 641842848 in words is "six hundred forty-one million, eight hundred forty-two thousand, eight hundred forty-eight".