9682741440 has 168 divisors, whose sum is σ = 33774388128. Its totient is φ = 2545643520.

The previous prime is 9682741421. The next prime is 9682741447. The reversal of 9682741440 is 441472869.

9682741440 is a `hidden beast` number, since 96 + 82 + 7 + 41 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9682741447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180804 + ... + 228156.

Almost surely, 2^9682741440 is an apocalyptic number.

9682741440 is a gapful number since it is divisible by the number (90) 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 9682741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16887194064).

9682741440 is an abundant number, since it is smaller than the sum of its proper divisors (24091646688).

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

9682741440 is a wasteful number, since it uses less digits than its factorization.

9682741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47447 (or 47434 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 9682741440 is about 98400.9219469005. The cubic root of 9682741440 is about 2131.4056449426.

The spelling of 9682741440 in words is "nine billion, six hundred eighty-two million, seven hundred forty-one thousand, four hundred forty".