3663156306744 has 288 divisors, whose sum is σ = 11005859592000. Its totient is φ = 1099814284800.

The previous prime is 3663156306697. The next prime is 3663156306757. The reversal of 3663156306744 is 4476036513663.

3663156306744 is a `hidden beast` number, since 3 + 6 + 6 + 3 + 1 + 563 + 0 + 6 + 74 + 4 = 666.

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 71 ways as a sum of consecutive naturals, for example, 546491697 + ... + 546498399.

It is an arithmetic number, because the mean of its divisors is an integer number (38214790250).

Almost surely, 2^{3663156306744} 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 3663156306744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5502929796000).

3663156306744 is an abundant number, since it is smaller than the sum of its proper divisors (7342703285256).

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

3663156306744 is a wasteful number, since it uses less digits than its factorization.

3663156306744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7307 (or 7289 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 3663156306744 in words is "three trillion, six hundred sixty-three billion, one hundred fifty-six million, three hundred six thousand, seven hundred forty-four".