8364127749120 has 1584 divisors, whose sum is σ = 34516308481200. Its totient is φ = 1860257710080.

The previous prime is 8364127749113. The next prime is 8364127749151. The reversal of 8364127749120 is 219477214638.

8364127749120 is a `hidden beast` number, since 8 + 3 + 6 + 4 + 127 + 7 + 491 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 119970791424 + 8244156957696 = 346368^2 + 2871264^2 .

It is a tau number, because it is divible by the number of its divisors (1584).

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 143 ways as a sum of consecutive naturals, for example, 18628346656 + ... + 18628347104.

Almost surely, 2^{8364127749120} is an apocalyptic number.

8364127749120 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 8364127749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17258154240600).

8364127749120 is an abundant number, since it is smaller than the sum of its proper divisors (26152180732080).

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

8364127749120 is a wasteful number, since it uses less digits than its factorization.

8364127749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 8364127749120 in words is "eight trillion, three hundred sixty-four billion, one hundred twenty-seven million, seven hundred forty-nine thousand, one hundred twenty".