9784348056000 has 336 divisors, whose sum is σ = 40000280598720. Its totient is φ = 2236422297600.

The previous prime is 9784348055941. The next prime is 9784348056001. The reversal of 9784348056000 is 6508434879.

9784348056000 is a `hidden beast` number, since 9 + 78 + 4 + 3 + 4 + 8 + 0 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9784348056001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9202695 + ... + 10210694.

Almost surely, 2^{9784348056000} is an apocalyptic number.

9784348056000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9784348056000 is an abundant number, since it is smaller than the sum of its proper divisors (30215932542720).

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

9784348056000 is a wasteful number, since it uses less digits than its factorization.

9784348056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19413429 (or 19413406 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 9784348056000 in words is "nine trillion, seven hundred eighty-four billion, three hundred forty-eight million, fifty-six thousand".