641368800 has 288 divisors, whose sum is σ = 2422344960. Its totient is φ = 163468800.

The previous prime is 641368789. The next prime is 641368831. The reversal of 641368800 is 8863146.

It is a happy number.

641368800 is a `hidden beast` number, since 641 + 3 + 6 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×641368800² = 822707875226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496155 + ... + 497445.

It is an arithmetic number, because the mean of its divisors is an integer number (8410920).

Almost surely, 2^641368800 is an apocalyptic number.

641368800 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 641368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211172480).

641368800 is an abundant number, since it is smaller than the sum of its proper divisors (1780976160).

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

641368800 is a wasteful number, since it uses less digits than its factorization.

641368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 641368800 is about 25325.2601171242. The cubic root of 641368800 is about 862.3878114948.

The spelling of 641368800 in words is "six hundred forty-one million, three hundred sixty-eight thousand, eight hundred".