3564821365560 has 576 divisors, whose sum is σ = 14571975206880. Its totient is φ = 749129472000.

The previous prime is 3564821365477. The next prime is 3564821365577. The reversal of 3564821365560 is 655631284653.

3564821365560 is a `hidden beast` number, since 3 + 5 + 6 + 4 + 8 + 2 + 13 + 65 + 560 = 666.

It is a super-2 number, since 2×3564821365560² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3564821365497 and 3564821365506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57528354 + ... + 57590286.

Almost surely, 2^{3564821365560} is an apocalyptic number.

3564821365560 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 3564821365560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285987603440).

3564821365560 is an abundant number, since it is smaller than the sum of its proper divisors (11007153841320).

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

3564821365560 is a wasteful number, since it uses less digits than its factorization.

3564821365560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62228 (or 62214 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 3564821365560 in words is "three trillion, five hundred sixty-four billion, eight hundred twenty-one million, three hundred sixty-five thousand, five hundred sixty".