8440648128 has 336 divisors, whose sum is σ = 27730460160. Its totient is φ = 2431027200.

The previous prime is 8440648109. The next prime is 8440648133. The reversal of 8440648128 is 8218460448.

8440648128 is a `hidden beast` number, since 84 + 406 + 48 + 128 = 666.

It is a Cunningham number, because it is equal to 91873²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13045501 + ... + 13046147.

Almost surely, 2^8440648128 is an apocalyptic number.

8440648128 is a gapful number since it is divisible by the number (88) 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 8440648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13865230080).

8440648128 is an abundant number, since it is smaller than the sum of its proper divisors (19289812032).

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

8440648128 is a wasteful number, since it uses less digits than its factorization.

8440648128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 8440648128 is about 91872.9999945577. Note that the first 5 decimals coincide. The cubic root of 8440648128 is about 2036.0663760472.

The spelling of 8440648128 in words is "eight billion, four hundred forty million, six hundred forty-eight thousand, one hundred twenty-eight".