8128436530680 has 320 divisors, whose sum is σ = 27900203870880. Its totient is φ = 2121933542400.

The previous prime is 8128436530657. The next prime is 8128436530681. The reversal of 8128436530680 is 860356348218.

8128436530680 is a `hidden beast` number, since 8 + 1 + 2 + 8 + 43 + 6 + 530 + 68 + 0 = 666.

It is a super-2 number, since 2×8128436530680² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8128436530681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41604582 + ... + 41799498.

Almost surely, 2^{8128436530680} 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 8128436530680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13950101935440).

8128436530680 is an abundant number, since it is smaller than the sum of its proper divisors (19771767340200).

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

8128436530680 is a wasteful number, since it uses less digits than its factorization.

8128436530680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195212 (or 195199 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 8128436530680 in words is "eight trillion, one hundred twenty-eight billion, four hundred thirty-six million, five hundred thirty thousand, six hundred eighty".