9564868146240 has 1344 divisors, whose sum is σ = 40084380161280. Its totient is φ = 2063204352000.

The previous prime is 9564868146233. The next prime is 9564868146269. The reversal of 9564868146240 is 426418684659.

9564868146240 is a `hidden beast` number, since 9 + 5 + 6 + 486 + 8 + 146 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×9564868146240² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9014955310 + ... + 9014956370.

It is an arithmetic number, because the mean of its divisors is an integer number (29824687620).

Almost surely, 2^{9564868146240} is an apocalyptic number.

9564868146240 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 9564868146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20042190080640).

9564868146240 is an abundant number, since it is smaller than the sum of its proper divisors (30519512015040).

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

9564868146240 is a wasteful number, since it uses less digits than its factorization.

9564868146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 9564868146240 in words is "nine trillion, five hundred sixty-four billion, eight hundred sixty-eight million, one hundred forty-six thousand, two hundred forty".