8216564336640 has 2304 divisors, whose sum is σ = 36163140249600. Its totient is φ = 1697277542400.

The previous prime is 8216564336611. The next prime is 8216564336653. The reversal of 8216564336640 is 466334656128.

8216564336640 is a `hidden beast` number, since 8 + 2 + 1 + 6 + 564 + 3 + 36 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7531222495 + ... + 7531223585.

It is an arithmetic number, because the mean of its divisors is an integer number (15695807400).

Almost surely, 2^{8216564336640} is an apocalyptic number.

8216564336640 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 8216564336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18081570124800).

8216564336640 is an abundant number, since it is smaller than the sum of its proper divisors (27946575912960).

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

8216564336640 is a wasteful number, since it uses less digits than its factorization.

8216564336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 8216564336640 in words is "eight trillion, two hundred sixteen billion, five hundred sixty-four million, three hundred thirty-six thousand, six hundred forty".