641008800 has 216 divisors, whose sum is σ = 2393776476. Its totient is φ = 160849920.

The previous prime is 641008789. The next prime is 641008811. The reversal of 641008800 is 8800146.

It is an interprime number because it is at equal distance from previous prime (641008789) and next prime (641008811).

It can be written as a sum of positive squares in 6 ways, for example, as 447576336 + 193432464 = 21156^2 + 13908^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119782 + ... + 125018.

Almost surely, 2^641008800 is an apocalyptic number.

641008800 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 641008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196888238).

641008800 is an abundant number, since it is smaller than the sum of its proper divisors (1752767676).

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

641008800 is a wasteful number, since it uses less digits than its factorization.

641008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280 (or 5264 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 641008800 is about 25318.1515912991. The cubic root of 641008800 is about 862.2264286746.

Adding to 641008800 its reverse (8800146), we get a palindrome (649808946).

It can be divided in two parts, 64100 and 8800, that added together give a square (72900 = 270²).

The spelling of 641008800 in words is "six hundred forty-one million, eight thousand, eight hundred".