3666613063680 has 1664 divisors, whose sum is σ = 15479999216640. Its totient is φ = 806029885440.

The previous prime is 3666613063661. The next prime is 3666613063697. The reversal of 3666613063680 is 863603166663.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 12514037614 + ... + 12514037906.

Almost surely, 2^{3666613063680} is an apocalyptic number.

3666613063680 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 3666613063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7739999608320).

3666613063680 is an abundant number, since it is smaller than the sum of its proper divisors (11813386152960).

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

3666613063680 is a wasteful number, since it uses less digits than its factorization.

3666613063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 3666613063680 in words is "three trillion, six hundred sixty-six billion, six hundred thirteen million, sixty-three thousand, six hundred eighty".