646228800 has 336 divisors, whose sum is σ = 2693537920. Its totient is φ = 147640320.

The previous prime is 646228771. The next prime is 646228831. The reversal of 646228800 is 8822646.

646228800 is a `hidden beast` number, since 646 + 2 + 2 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×646228800² = 835223323898880000, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301332 + ... + 303468.

Almost surely, 2^646228800 is an apocalyptic number.

646228800 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 646228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346768960).

646228800 is an abundant number, since it is smaller than the sum of its proper divisors (2047309120).

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

646228800 is a wasteful number, since it uses less digits than its factorization.

646228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 646228800 is about 25421.0306636061. The cubic root of 646228800 is about 864.5605929794.

The spelling of 646228800 in words is "six hundred forty-six million, two hundred twenty-eight thousand, eight hundred".