8270440147872 has 144 divisors (see below), whose sum is σ = 26892720271872. Its totient is φ = 2361770611200.

The previous prime is 8270440147859. The next prime is 8270440147943. The reversal of 8270440147872 is 2787410440728.

8270440147872 is a `hidden beast` number, since 82 + 7 + 0 + 440 + 1 + 47 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×8270440147872² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2881858 + ... + 4984574.

It is an arithmetic number, because the mean of its divisors is an integer number (186755001888).

Almost surely, 2^{8270440147872} 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 8270440147872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13446360135936).

8270440147872 is an abundant number, since it is smaller than the sum of its proper divisors (18622280124000).

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

8270440147872 is a wasteful number, since it uses less digits than its factorization.

8270440147872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104691 (or 2104680 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 54.

The spelling of 8270440147872 in words is "eight trillion, two hundred seventy billion, four hundred forty million, one hundred forty-seven thousand, eight hundred seventy-two".