8006953078336 has 63 divisors (see below), whose sum is σ = 16287669140497. Its totient is φ = 3905378024960.

The previous prime is 8006953078279. The next prime is 8006953078363. The reversal of 8006953078336 is 6338703596008.

The square root of 8006953078336 is 2829656.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 385819868736 + 7621133209600 = 621144^2 + 2760640^2 .

It is a super-2 number, since 2×8006953078336² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 928122855 + ... + 928131481.

Almost surely, 2^{8006953078336} is an apocalyptic number.

8006953078336 is the 2829656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8006953078336

8006953078336 is an abundant number, since it is smaller than the sum of its proper divisors (8280716062161).

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

8006953078336 is an frugal number, since it uses more digits than its factorization.

8006953078336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17348 (or 8670 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 58.

The spelling of 8006953078336 in words is "eight trillion, six billion, nine hundred fifty-three million, seventy-eight thousand, three hundred thirty-six".