8427323608704 has 2304 divisors, whose sum is σ = 34344944524800. Its totient is φ = 1948613345280.

The previous prime is 8427323608699. The next prime is 8427323608727. The reversal of 8427323608704 is 4078063237248.

It is a happy number.

8427323608704 is a `hidden beast` number, since 8 + 4 + 2 + 7 + 3 + 23 + 608 + 7 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 36800539662 + ... + 36800539890.

It is an arithmetic number, because the mean of its divisors is an integer number (14906659950).

Almost surely, 2^{8427323608704} is an apocalyptic number.

8427323608704 is a gapful number since it is divisible by the number (84) 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 8427323608704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17172472262400).

8427323608704 is an abundant number, since it is smaller than the sum of its proper divisors (25917620916096).

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

8427323608704 is a wasteful number, since it uses less digits than its factorization.

8427323608704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 8427323608704 in words is "eight trillion, four hundred twenty-seven billion, three hundred twenty-three million, six hundred eight thousand, seven hundred four".