9827661468240 has 720 divisors, whose sum is σ = 42593328048960. Its totient is φ = 2007494737920.

The previous prime is 9827661468203. The next prime is 9827661468281. The reversal of 9827661468240 is 428641667289.

9827661468240 is a `hidden beast` number, since 9 + 8 + 2 + 7 + 6 + 614 + 6 + 8 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22682112 + ... + 23111328.

It is an arithmetic number, because the mean of its divisors is an integer number (59157400068).

Almost surely, 2^{9827661468240} is an apocalyptic number.

9827661468240 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 9827661468240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21296664024480).

9827661468240 is an abundant number, since it is smaller than the sum of its proper divisors (32765666580720).

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

9827661468240 is a wasteful number, since it uses less digits than its factorization.

9827661468240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429320 (or 429304 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

It can be divided in two parts, 98276 and 61468240, that added together give a palindrome (61566516).

The spelling of 9827661468240 in words is "nine trillion, eight hundred twenty-seven billion, six hundred sixty-one million, four hundred sixty-eight thousand, two hundred forty".