3564607816224 has 1536 divisors, whose sum is σ = 13830663168000. Its totient is φ = 877968875520.

The previous prime is 3564607816219. The next prime is 3564607816271. The reversal of 3564607816224 is 4226187064653.

3564607816224 is a `hidden beast` number, since 3 + 5 + 6 + 4 + 6 + 0 + 7 + 8 + 1 + 622 + 4 = 666.

3564607816224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10769207739 + ... + 10769208069.

It is an arithmetic number, because the mean of its divisors is an integer number (9004338000).

Almost surely, 2^{3564607816224} 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 3564607816224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6915331584000).

3564607816224 is an abundant number, since it is smaller than the sum of its proper divisors (10266055351776).

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

3564607816224 is a wasteful number, since it uses less digits than its factorization.

3564607816224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 3564607816224 in words is "three trillion, five hundred sixty-four billion, six hundred seven million, eight hundred sixteen thousand, two hundred twenty-four".