641384568 has 320 divisors, whose sum is σ = 2132697600. Its totient is φ = 177914880.

The previous prime is 641384533. The next prime is 641384587. The reversal of 641384568 is 865483146.

641384568 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 84 + 568 = 666.

It is a super-2 number, since 2×641384568² = 822748328137093248, which contains 22 as substring.

Its product of digits (552960) is a multiple of the sum of its prime factors (192).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 8118753 + ... + 8118831.

It is an arithmetic number, because the mean of its divisors is an integer number (6664680).

Almost surely, 2^641384568 is an apocalyptic number.

641384568 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641384568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066348800).

641384568 is an abundant number, since it is smaller than the sum of its proper divisors (1491313032).

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

641384568 is a wasteful number, since it uses less digits than its factorization.

641384568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 641384568 is about 25325.5714249452. The cubic root of 641384568 is about 862.3948786817.

The spelling of 641384568 in words is "six hundred forty-one million, three hundred eighty-four thousand, five hundred sixty-eight".