8180270683632 has 120 divisors (see below), whose sum is σ = 23634400777728. Its totient is φ = 2638516982400.

The previous prime is 8180270683597. The next prime is 8180270683639. The reversal of 8180270683632 is 2363860720818.

8180270683632 is a `hidden beast` number, since 8 + 1 + 8 + 0 + 270 + 6 + 8 + 363 + 2 = 666.

It is a super-2 number, since 2×8180270683632² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8180270683639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44239723 + ... + 44424245.

Almost surely, 2^{8180270683632} 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 8180270683632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11817200388864).

8180270683632 is an abundant number, since it is smaller than the sum of its proper divisors (15454130094096).

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

8180270683632 is a wasteful number, since it uses less digits than its factorization.

8180270683632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194499 (or 194490 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 8180270683632 in words is "eight trillion, one hundred eighty billion, two hundred seventy million, six hundred eighty-three thousand, six hundred thirty-two".