641804400 has 180 divisors, whose sum is σ = 2358478512. Its totient is φ = 161064960.

The previous prime is 641804357. The next prime is 641804437. The reversal of 641804400 is 4408146.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

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, 55957 + ... + 66443.

Almost surely, 2^641804400 is an apocalyptic number.

641804400 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 641804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179239256).

641804400 is an abundant number, since it is smaller than the sum of its proper divisors (1716674112).

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

641804400 is a wasteful number, since it uses less digits than its factorization.

641804400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10528 (or 10514 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 641804400 is about 25333.8587664809. The cubic root of 641804400 is about 862.5830039840.

The spelling of 641804400 in words is "six hundred forty-one million, eight hundred four thousand, four hundred".