643193568 has 192 divisors, whose sum is σ = 1957616640. Its totient is φ = 205286400.

The previous prime is 643193563. The next prime is 643193569. The reversal of 643193568 is 865391346.

Its product of digits (466560) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643193563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2373273 + ... + 2373543.

It is an arithmetic number, because the mean of its divisors is an integer number (10195920).

Almost surely, 2^643193568 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 643193568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978808320).

643193568 is an abundant number, since it is smaller than the sum of its proper divisors (1314423072).

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

643193568 is a wasteful number, since it uses less digits than its factorization.

643193568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 384 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 643193568 is about 25361.2611673789. The cubic root of 643193568 is about 863.2049012483.

It can be divided in two parts, 6431 and 93568, that added together give a palindrome (99999).

The spelling of 643193568 in words is "six hundred forty-three million, one hundred ninety-three thousand, five hundred sixty-eight".