641362400 has 144 divisors (see below), whose sum is σ = 1894941216. Its totient is φ = 206929920.

The previous prime is 641362399. The next prime is 641362409. The reversal of 641362400 is 4263146.

It is a super-2 number, since 2×641362400² = 822691456267520000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 641362400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641362409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91832 + ... + 98568.

It is an arithmetic number, because the mean of its divisors is an integer number (13159314).

Almost surely, 2^641362400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947470608).

641362400 is an abundant number, since it is smaller than the sum of its proper divisors (1253578816).

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

641362400 is a wasteful number, since it uses less digits than its factorization.

641362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6781 (or 6768 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 641362400 is about 25325.1337607524. The cubic root of 641362400 is about 862.3849429942.

The spelling of 641362400 in words is "six hundred forty-one million, three hundred sixty-two thousand, four hundred".