8094379317984 has 480 divisors, whose sum is σ = 24719381406720. Its totient is φ = 2596531811328.

The previous prime is 8094379317953. The next prime is 8094379317989. The reversal of 8094379317984 is 4897139734908.

8094379317984 is a `hidden beast` number, since 8 + 0 + 9 + 4 + 379 + 3 + 179 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8094379317989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7246534194 + ... + 7246535310.

It is an arithmetic number, because the mean of its divisors is an integer number (51498711264).

Almost surely, 2^{8094379317984} 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 8094379317984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12359690703360).

8094379317984 is an abundant number, since it is smaller than the sum of its proper divisors (16625002088736).

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

8094379317984 is a wasteful number, since it uses less digits than its factorization.

8094379317984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 8094379317984 in words is "eight trillion, ninety-four billion, three hundred seventy-nine million, three hundred seventeen thousand, nine hundred eighty-four".