8221365782007 has 32 divisors (see below), whose sum is σ = 12825105216000. Its totient is φ = 4682620442304.

The previous prime is 8221365781961. The next prime is 8221365782027. The reversal of 8221365782007 is 7002875631228.

It is not a de Polignac number, because 8221365782007 - 2¹⁵ = 8221365749239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8221365782027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12696582 + ... + 13328387.

It is an arithmetic number, because the mean of its divisors is an integer number (400784538000).

Almost surely, 2^{8221365782007} is an apocalyptic number.

8221365782007 is a deficient number, since it is larger than the sum of its proper divisors (4603739433993).

8221365782007 is a wasteful number, since it uses less digits than its factorization.

8221365782007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26025300 (or 26025286 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 8221365782007 in words is "eight trillion, two hundred twenty-one billion, three hundred sixty-five million, seven hundred eighty-two thousand, seven".