3621566564406 has 320 divisors, whose sum is σ = 10112554501632. Its totient is φ = 945125895168.

The previous prime is 3621566564353. The next prime is 3621566564411. The reversal of 3621566564406 is 6044656651263.

3621566564406 is a `hidden beast` number, since 3 + 6 + 2 + 15 + 66 + 564 + 4 + 0 + 6 = 666.

It is a super-2 number, since 2×3621566564406² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 130131865 + ... + 130159691.

Almost surely, 2^{3621566564406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3621566564406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056277250816).

3621566564406 is an abundant number, since it is smaller than the sum of its proper divisors (6490987937226).

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

3621566564406 is a wasteful number, since it uses less digits than its factorization.

3621566564406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28065 (or 28056 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 3621566564406 in words is "three trillion, six hundred twenty-one billion, five hundred sixty-six million, five hundred sixty-four thousand, four hundred six".