3663213120000 has 1600 divisors, whose sum is σ = 15913808951040. Its totient is φ = 814178304000.

The previous prime is 3663213119981. The next prime is 3663213120041. The reversal of 3663213120000 is 213123663.

It is a happy number.

3663213120000 is a `hidden beast` number, since 3 + 6 + 632 + 1 + 3 + 1 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2237759182 + ... + 2237760818.

Almost surely, 2^{3663213120000} is an apocalyptic number.

3663213120000 is a gapful number since it is divisible by the number (30) 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 3663213120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7956904475520).

3663213120000 is an abundant number, since it is smaller than the sum of its proper divisors (12250595831040).

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

3663213120000 is an equidigital number, since it uses as much as digits as its factorization.

3663213120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 3663213120000 its reverse (213123663), we get a palindrome (3663426243663).

The spelling of 3663213120000 in words is "three trillion, six hundred sixty-three billion, two hundred thirteen million, one hundred twenty thousand".