641008801 has 8 divisors (see below), whose sum is σ = 667410408. Its totient is φ = 615120000.

The previous prime is 641008789. The next prime is 641008811. The reversal of 641008801 is 108800146.

It can be written as a sum of positive squares in 4 ways, for example, as 45697600 + 595311201 = 6760^2 + 24399^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 641008801 - 2⁷ = 641008673 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 641008801.

It is not an unprimeable number, because it can be changed into a prime (641008811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125650 + ... + 130651.

It is an arithmetic number, because the mean of its divisors is an integer number (83426301).

Almost surely, 2^641008801 is an apocalyptic number.

641008801 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

641008801 is a deficient number, since it is larger than the sum of its proper divisors (26401607).

641008801 is a wasteful number, since it uses less digits than its factorization.

641008801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256403.

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 641008801 is about 25318.1516110478. The cubic root of 641008801 is about 862.2264291230.

Adding to 641008801 its reverse (108800146), we get a palindrome (749808947).

The spelling of 641008801 in words is "six hundred forty-one million, eight thousand, eight hundred one".