3660663600000 has 1152 divisors, whose sum is σ = 14526850534560. Its totient is φ = 877363200000.

The previous prime is 3660663599951. The next prime is 3660663600001. The reversal of 3660663600000 is 63660663.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3660663600001) 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 143 ways as a sum of consecutive naturals, for example, 3841199524 + ... + 3841200476.

Almost surely, 2^{3660663600000} is an apocalyptic number.

3660663600000 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 3660663600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7263425267280).

3660663600000 is an abundant number, since it is smaller than the sum of its proper divisors (10866186934560).

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

3660663600000 is an equidigital number, since it uses as much as digits as its factorization.

3660663600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 3660663600000 in words is "three trillion, six hundred sixty billion, six hundred sixty-three million, six hundred thousand".