641318400 has 360 divisors, whose sum is σ = 2424141720. Its totient is φ = 161464320.

The previous prime is 641318369. The next prime is 641318401. The reversal of 641318400 is 4813146.

641318400 is a `hidden beast` number, since 641 + 3 + 18 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×641318400² = 822578580357120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641318401) 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 35 ways as a sum of consecutive naturals, for example, 2188654 + ... + 2188946.

It is an arithmetic number, because the mean of its divisors is an integer number (6733727).

Almost surely, 2^641318400 is an apocalyptic number.

641318400 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 641318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212070860).

641318400 is an abundant number, since it is smaller than the sum of its proper divisors (1782823320).

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

641318400 is a wasteful number, since it uses less digits than its factorization.

641318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 641318400 is about 25324.2650436296. The cubic root of 641318400 is about 862.3652215360.

The spelling of 641318400 in words is "six hundred forty-one million, three hundred eighteen thousand, four hundred".