641300640 has 96 divisors (see below), whose sum is σ = 2027664576. Its totient is φ = 170373120.

The previous prime is 641300623. The next prime is 641300701. The reversal of 641300640 is 46003146.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×641300640² = 822533021728819200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 641300640.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 133480 + ... + 138200.

It is an arithmetic number, because the mean of its divisors is an integer number (21121506).

Almost surely, 2^641300640 is an apocalyptic number.

641300640 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 641300640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013832288).

641300640 is an abundant number, since it is smaller than the sum of its proper divisors (1386363936).

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

641300640 is a wasteful number, since it uses less digits than its factorization.

641300640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 641300640 is about 25323.9143893672. The cubic root of 641300640 is about 862.3572609829.

Adding to 641300640 its reverse (46003146), we get a palindrome (687303786).

The spelling of 641300640 in words is "six hundred forty-one million, three hundred thousand, six hundred forty".