3633063666400 has 288 divisors, whose sum is σ = 10185540583680. Its totient is φ = 1239577067520.

The previous prime is 3633063666391. The next prime is 3633063666403. The reversal of 3633063666400 is 46663603363.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3633063666403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2232982387 + ... + 2232984013.

It is an arithmetic number, because the mean of its divisors is an integer number (35366460360).

Almost surely, 2^{3633063666400} 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 3633063666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092770291840).

3633063666400 is an abundant number, since it is smaller than the sum of its proper divisors (6552476917280).

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

3633063666400 is a wasteful number, since it uses less digits than its factorization.

3633063666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 46.

The spelling of 3633063666400 in words is "three trillion, six hundred thirty-three billion, sixty-three million, six hundred sixty-six thousand, four hundred".