8126044568640 has 168 divisors, whose sum is σ = 28423940388480. Its totient is φ = 2130217288704.

The previous prime is 8126044568633. The next prime is 8126044568683. The reversal of 8126044568640 is 468654406218.

8126044568640 is a `hidden beast` number, since 8 + 12 + 6 + 0 + 4 + 4 + 568 + 64 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23741464 + ... + 24081303.

It is an arithmetic number, because the mean of its divisors is an integer number (169190121360).

Almost surely, 2^{8126044568640} is an apocalyptic number.

8126044568640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8126044568640 is an abundant number, since it is smaller than the sum of its proper divisors (20297895819840).

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

8126044568640 is a wasteful number, since it uses less digits than its factorization.

8126044568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47822849 (or 47822836 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 8126044568640 in words is "eight trillion, one hundred twenty-six billion, forty-four million, five hundred sixty-eight thousand, six hundred forty".