6641121600 has 252 divisors, whose sum is σ = 23677558944. Its totient is φ = 1765463040.

The previous prime is 6641121523. The next prime is 6641121607. The reversal of 6641121600 is 61211466.

6641121600 is a `hidden beast` number, since 6 + 6 + 41 + 12 + 1 + 600 = 666.

It is a super-2 number, since 2×6641121600² = 88208992211973120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6641121607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7012327 + ... + 7013273.

Almost surely, 2^6641121600 is an apocalyptic number.

6641121600 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 6641121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11838779472).

6641121600 is an abundant number, since it is smaller than the sum of its proper divisors (17036437344).

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

6641121600 is a wasteful number, since it uses less digits than its factorization.

6641121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6641121600 is about 81493.0770065777. The cubic root of 6641121600 is about 1879.6650980326.

The spelling of 6641121600 in words is "six billion, six hundred forty-one million, one hundred twenty-one thousand, six hundred".