3660763106000 has 640 divisors, whose sum is σ = 12109426947072. Its totient is φ = 1033344000000.

The previous prime is 3660763105933. The next prime is 3660763106047. The reversal of 3660763106000 is 6013670663.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106088750 + ... + 106123250.

Almost surely, 2^{3660763106000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3660763106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054713473536).

3660763106000 is an abundant number, since it is smaller than the sum of its proper divisors (8448663841072).

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

3660763106000 is a wasteful number, since it uses less digits than its factorization.

3660763106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34608 (or 34592 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 38.

Adding to 3660763106000 its reverse (6013670663), we get a palindrome (3666776776663).

The spelling of 3660763106000 in words is "three trillion, six hundred sixty billion, seven hundred sixty-three million, one hundred six thousand".