6676221657600 has 1980 divisors, whose sum is σ = 27645346833258. Its totient is φ = 1596307046400.

The previous prime is 6676221657569. The next prime is 6676221657607. The reversal of 6676221657600 is 67561226766.

6676221657600 is a `hidden beast` number, since 6 + 6 + 7 + 6 + 2 + 21 + 6 + 5 + 7 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5137947023616 + 1538274633984 = 2266704^2 + 1240272^2 .

It is a tau number, because it is divible by the number of its divisors (1980).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6676221657607) by changing a digit.

It is a polite number, since it can be written in 197 ways as a sum of consecutive naturals, for example, 91455091164 + ... + 91455091236.

Almost surely, 2^{6676221657600} is an apocalyptic number.

6676221657600 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 6676221657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13822673416629).

6676221657600 is an abundant number, since it is smaller than the sum of its proper divisors (20969125175658).

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

6676221657600 is an frugal number, since it uses more digits than its factorization.

6676221657600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 6676221657600 in words is "six trillion, six hundred seventy-six billion, two hundred twenty-one million, six hundred fifty-seven thousand, six hundred".