8427944972160 has 1024 divisors, whose sum is σ = 34609776998400. Its totient is φ = 1922179424256.

The previous prime is 8427944972129. The next prime is 8427944972221. The reversal of 8427944972160 is 612794497248.

8427944972160 is a `hidden beast` number, since 8 + 4 + 27 + 9 + 449 + 7 + 2 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7710836574 + ... + 7710837666.

It is an arithmetic number, because the mean of its divisors is an integer number (33798610350).

Almost surely, 2^{8427944972160} is an apocalyptic number.

8427944972160 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 8427944972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17304888499200).

8427944972160 is an abundant number, since it is smaller than the sum of its proper divisors (26181832026240).

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

8427944972160 is an equidigital number, since it uses as much as digits as its factorization.

8427944972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 8427944972160 in words is "eight trillion, four hundred twenty-seven billion, nine hundred forty-four million, nine hundred seventy-two thousand, one hundred sixty".