8128740648688 has 160 divisors (see below), whose sum is σ = 17722774598400. Its totient is φ = 3580460083200.

The previous prime is 8128740648653. The next prime is 8128740648697. The reversal of 8128740648688 is 8868460478218.

It is a happy number.

It is a super-2 number, since 2×8128740648688² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305888970 + ... + 305915542.

It is an arithmetic number, because the mean of its divisors is an integer number (110767341240).

Almost surely, 2^{8128740648688} is an apocalyptic number.

8128740648688 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 8128740648688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8861387299200).

8128740648688 is an abundant number, since it is smaller than the sum of its proper divisors (9594033949712).

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

8128740648688 is a wasteful number, since it uses less digits than its factorization.

8128740648688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27071 (or 27065 counting only the distinct ones).

The product of its (nonzero) digits is 264241152, while the sum is 70.

The spelling of 8128740648688 in words is "eight trillion, one hundred twenty-eight billion, seven hundred forty million, six hundred forty-eight thousand, six hundred eighty-eight".