8643968040960 has 1632 divisors, whose sum is σ = 36262669086720. Its totient is φ = 1947721531392.

The previous prime is 8643968040901. The next prime is 8643968040989. The reversal of 8643968040960 is 690408693468.

8643968040960 is a `hidden beast` number, since 8 + 6 + 4 + 3 + 96 + 80 + 409 + 60 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55057121202 + ... + 55057121358.

Almost surely, 2^{8643968040960} is an apocalyptic number.

8643968040960 is a gapful number since it is divisible by the number (80) 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 8643968040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18131334543360).

8643968040960 is an abundant number, since it is smaller than the sum of its proper divisors (27618701045760).

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

8643968040960 is a wasteful number, since it uses less digits than its factorization.

8643968040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 8643968040960 in words is "eight trillion, six hundred forty-three billion, nine hundred sixty-eight million, forty thousand, nine hundred sixty".