3522727563264 has 2496 divisors, whose sum is σ = 14425805721600. Its totient is φ = 832444563456.

The previous prime is 3522727563263. The next prime is 3522727563281. The reversal of 3522727563264 is 4623657272253.

3522727563264 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 72 + 7 + 563 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3522727563264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3522727563263) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39581208532 + ... + 39581208620.

It is an arithmetic number, because the mean of its divisors is an integer number (5779569600).

Almost surely, 2^{3522727563264} 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 3522727563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212902860800).

3522727563264 is an abundant number, since it is smaller than the sum of its proper divisors (10903078158336).

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

3522727563264 is a wasteful number, since it uses less digits than its factorization.

3522727563264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 156 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 3522727563264 in words is "three trillion, five hundred twenty-two billion, seven hundred twenty-seven million, five hundred sixty-three thousand, two hundred sixty-four".