8172879728640 has 832 divisors, whose sum is σ = 29087134801920. Its totient is φ = 1942833070080.

The previous prime is 8172879728633. The next prime is 8172879728641. The reversal of 8172879728640 is 468279782718.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8172879728641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7866101241 + ... + 7866102279.

It is an arithmetic number, because the mean of its divisors is an integer number (34960498560).

Almost surely, 2^{8172879728640} is an apocalyptic number.

8172879728640 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 8172879728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14543567400960).

8172879728640 is an abundant number, since it is smaller than the sum of its proper divisors (20914255073280).

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

8172879728640 is a wasteful number, since it uses less digits than its factorization.

8172879728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 69.

The spelling of 8172879728640 in words is "eight trillion, one hundred seventy-two billion, eight hundred seventy-nine million, seven hundred twenty-eight thousand, six hundred forty".