8115728369760 has 576 divisors, whose sum is σ = 30529090335744. Its totient is φ = 1946927923200.

The previous prime is 8115728369731. The next prime is 8115728369831. The reversal of 8115728369760 is 679638275118.

8115728369760 is a `hidden beast` number, since 81 + 157 + 283 + 69 + 76 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 761534352 + ... + 761545008.

It is an arithmetic number, because the mean of its divisors is an integer number (53001892944).

Almost surely, 2^{8115728369760} is an apocalyptic number.

8115728369760 is a gapful number since it is divisible by the number (80) 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 8115728369760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15264545167872).

8115728369760 is an abundant number, since it is smaller than the sum of its proper divisors (22413361965984).

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

8115728369760 is a wasteful number, since it uses less digits than its factorization.

8115728369760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11187 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 8115728369760 in words is "eight trillion, one hundred fifteen billion, seven hundred twenty-eight million, three hundred sixty-nine thousand, seven hundred sixty".