8340664201056 has 576 divisors, whose sum is σ = 27446896189440. Its totient is φ = 2469852725760.

The previous prime is 8340664201021. The next prime is 8340664201061. The reversal of 8340664201056 is 6501024660438.

8340664201056 is a `hidden beast` number, since 83 + 40 + 6 + 6 + 420 + 105 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3565909135 + ... + 3565911473.

It is an arithmetic number, because the mean of its divisors is an integer number (47650861440).

Almost surely, 2^{8340664201056} 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 8340664201056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13723448094720).

8340664201056 is an abundant number, since it is smaller than the sum of its proper divisors (19106231988384).

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

8340664201056 is a wasteful number, since it uses less digits than its factorization.

8340664201056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 8340664201056 in words is "eight trillion, three hundred forty billion, six hundred sixty-four million, two hundred one thousand, fifty-six".