3563566704000 has 512 divisors, whose sum is σ = 13136947200000. Its totient is φ = 949477939200.

The previous prime is 3563566703959. The next prime is 3563566704001. The reversal of 3563566704000 is 4076653653.

3563566704000 is a `hidden beast` number, since 3 + 5 + 635 + 6 + 6 + 7 + 0 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3563566704001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 647565249 + ... + 647570751.

It is an arithmetic number, because the mean of its divisors is an integer number (25658100000).

Almost surely, 2^{3563566704000} is an apocalyptic number.

3563566704000 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 3563566704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568473600000).

3563566704000 is an abundant number, since it is smaller than the sum of its proper divisors (9573380496000).

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

3563566704000 is a wasteful number, since it uses less digits than its factorization.

3563566704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7040 (or 7012 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 3563566704000 in words is "three trillion, five hundred sixty-three billion, five hundred sixty-six million, seven hundred four thousand".