8120627440900 has 288 divisors, whose sum is σ = 20517786777600. Its totient is φ = 2765101363200.

The previous prime is 8120627440873. The next prime is 8120627441009. The reversal of 8120627440900 is 90447260218.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249319816 + ... + 249352384.

It is an arithmetic number, because the mean of its divisors is an integer number (71242315200).

Almost surely, 2^{8120627440900} 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 8120627440900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10258893388800).

8120627440900 is an abundant number, since it is smaller than the sum of its proper divisors (12397159336700).

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

8120627440900 is a wasteful number, since it uses less digits than its factorization.

8120627440900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32919 (or 32912 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 8120627440900 in words is "eight trillion, one hundred twenty billion, six hundred twenty-seven million, four hundred forty thousand, nine hundred".