641730960 has 480 divisors, whose sum is σ = 2547024480. Its totient is φ = 143327232.

The previous prime is 641730959. The next prime is 641730967. The reversal of 641730960 is 69037146.

641730960 is a `hidden beast` number, since 641 + 7 + 3 + 0 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 21123216 + 620607744 = 4596^2 + 24912^2 .

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 (641730967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5887386 + ... + 5887494.

It is an arithmetic number, because the mean of its divisors is an integer number (5306301).

Almost surely, 2^641730960 is an apocalyptic number.

641730960 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 641730960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273512240).

641730960 is an abundant number, since it is smaller than the sum of its proper divisors (1905293520).

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

641730960 is a wasteful number, since it uses less digits than its factorization.

641730960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 641730960 is about 25332.4092813929. The cubic root of 641730960 is about 862.5501016895.

The spelling of 641730960 in words is "six hundred forty-one million, seven hundred thirty thousand, nine hundred sixty".