8427100717332 has 288 divisors, whose sum is σ = 24510756816000. Its totient is φ = 2417512903680.

The previous prime is 8427100717271. The next prime is 8427100717337. The reversal of 8427100717332 is 2337170017248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8427100717337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263553298 + ... + 263585270.

It is an arithmetic number, because the mean of its divisors is an integer number (85106794500).

Almost surely, 2^{8427100717332} 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 8427100717332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12255378408000).

8427100717332 is an abundant number, since it is smaller than the sum of its proper divisors (16083656098668).

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

8427100717332 is a wasteful number, since it uses less digits than its factorization.

8427100717332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32471 (or 32466 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 8427100717332 in words is "eight trillion, four hundred twenty-seven billion, one hundred million, seven hundred seventeen thousand, three hundred thirty-two".