8297224049664 has 1056 divisors, whose sum is σ = 27766988390400. Its totient is φ = 2444824166400.

The previous prime is 8297224049663. The next prime is 8297224049711. The reversal of 8297224049664 is 4669404227928.

8297224049664 is a `hidden beast` number, since 8 + 29 + 7 + 22 + 40 + 496 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8297224049663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25067141979 + ... + 25067142309.

Almost surely, 2^{8297224049664} 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 8297224049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13883494195200).

8297224049664 is an abundant number, since it is smaller than the sum of its proper divisors (19469764340736).

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

8297224049664 is a wasteful number, since it uses less digits than its factorization.

8297224049664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 8297224049664 in words is "eight trillion, two hundred ninety-seven billion, two hundred twenty-four million, forty-nine thousand, six hundred sixty-four".