8007750844416 has 340 divisors, whose sum is σ = 24964772508192. Its totient is φ = 2553156993024.

The previous prime is 8007750844403. The next prime is 8007750844441. The reversal of 8007750844416 is 6144480577008.

8007750844416 is a `hidden beast` number, since 8 + 0 + 0 + 77 + 50 + 84 + 441 + 6 = 666.

It is a super-3 number, since 3×8007750844416³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122060775 + ... + 122126361.

Almost surely, 2^{8007750844416} 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 8007750844416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12482386254096).

8007750844416 is an abundant number, since it is smaller than the sum of its proper divisors (16957021663776).

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

8007750844416 is an frugal number, since it uses more digits than its factorization.

8007750844416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65654 (or 65615 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 8007750844416 in words is "eight trillion, seven billion, seven hundred fifty million, eight hundred forty-four thousand, four hundred sixteen".