641488320 has 168 divisors, whose sum is σ = 2407158000. Its totient is φ = 155504640.

The previous prime is 641488291. The next prime is 641488321. The reversal of 641488320 is 23884146.

641488320 is a `hidden beast` number, since 641 + 4 + 8 + 8 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641488321) 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 23 ways as a sum of consecutive naturals, for example, 21556 + ... + 41804.

Almost surely, 2^641488320 is an apocalyptic number.

641488320 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 641488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203579000).

641488320 is an abundant number, since it is smaller than the sum of its proper divisors (1765669680).

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

641488320 is a wasteful number, since it uses less digits than its factorization.

641488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20283 (or 20270 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 641488320 is about 25327.6197065575. The cubic root of 641488320 is about 862.4413772380.

The spelling of 641488320 in words is "six hundred forty-one million, four hundred eighty-eight thousand, three hundred twenty".