9782340348960 has 144 divisors (see below), whose sum is σ = 33476805422424. Its totient is φ = 2601234087936.

The previous prime is 9782340348929. The next prime is 9782340348983. The reversal of 9782340348960 is 698430432879.

9782340348960 is a `hidden beast` number, since 9 + 78 + 23 + 4 + 0 + 3 + 489 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5651479216656 + 4130861132304 = 2377284^2 + 2032452^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9113907 + ... + 10130546.

Almost surely, 2^{9782340348960} is an apocalyptic number.

9782340348960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9782340348960 is an abundant number, since it is smaller than the sum of its proper divisors (23694465073464).

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

9782340348960 is a wasteful number, since it uses less digits than its factorization.

9782340348960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19244827 (or 19244816 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 9782340348960 in words is "nine trillion, seven hundred eighty-two billion, three hundred forty million, three hundred forty-eight thousand, nine hundred sixty".