641328000 has 256 divisors, whose sum is σ = 2199674880. Its totient is φ = 165120000.

The previous prime is 641327977. The next prime is 641328001. The reversal of 641328000 is 823146.

It is a happy number.

It is a super-2 number, since 2×641328000² = 822603207168000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641328001) 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 31 ways as a sum of consecutive naturals, for example, 1487785 + ... + 1488215.

It is an arithmetic number, because the mean of its divisors is an integer number (8592480).

Almost surely, 2^641328000 is an apocalyptic number.

641328000 is a gapful number since it is divisible by the number (60) 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 641328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099837440).

641328000 is an abundant number, since it is smaller than the sum of its proper divisors (1558346880).

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

641328000 is a wasteful number, since it uses less digits than its factorization.

641328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 641328000 is about 25324.4545844526. The cubic root of 641328000 is about 862.3695244766.

The spelling of 641328000 in words is "six hundred forty-one million, three hundred twenty-eight thousand".