6641760661200 has 1980 divisors, whose sum is σ = 29267197647520. Its totient is φ = 1418536488960.

The previous prime is 6641760661171. The next prime is 6641760661201. The reversal of 6641760661200 is 21660671466.

6641760661200 is a `hidden beast` number, since 6 + 6 + 4 + 17 + 606 + 6 + 1 + 20 + 0 = 666.

It is a super-2 number, since 2×6641760661200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6641760661201) by changing a digit.

It is a polite number, since it can be written in 395 ways as a sum of consecutive naturals, for example, 47782450731 + ... + 47782450869.

Almost surely, 2^{6641760661200} is an apocalyptic number.

6641760661200 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 6641760661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14633598823760).

6641760661200 is an abundant number, since it is smaller than the sum of its proper divisors (22625436986320).

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

6641760661200 is a wasteful number, since it uses less digits than its factorization.

6641760661200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 6641760661200 in words is "six trillion, six hundred forty-one billion, seven hundred sixty million, six hundred sixty-one thousand, two hundred".