8226704055600 has 540 divisors, whose sum is σ = 29873028230760. Its totient is φ = 2176950297600.

The previous prime is 8226704055599. The next prime is 8226704055607. The reversal of 8226704055600 is 65504076228.

8226704055600 is a `hidden beast` number, since 8 + 2 + 26 + 70 + 4 + 0 + 556 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8226704055607) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 343784436 + ... + 343808364.

Almost surely, 2^{8226704055600} is an apocalyptic number.

8226704055600 is a gapful number since it is divisible by the number (80) 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 8226704055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14936514115380).

8226704055600 is an abundant number, since it is smaller than the sum of its proper divisors (21646324175160).

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

8226704055600 is a wasteful number, since it uses less digits than its factorization.

8226704055600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24102 (or 24070 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 8226704055600 in words is "eight trillion, two hundred twenty-six billion, seven hundred four million, fifty-five thousand, six hundred".