8243767855680 has 1344 divisors, whose sum is σ = 33297685804800. Its totient is φ = 1716741734400.

The previous prime is 8243767855667. The next prime is 8243767855709. The reversal of 8243767855680 is 865587673428.

It is a tau number, because it is divible by the number of its divisors (1344).

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, 2943150280 + ... + 2943153080.

Almost surely, 2^{8243767855680} is an apocalyptic number.

8243767855680 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 8243767855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16648842902400).

8243767855680 is an abundant number, since it is smaller than the sum of its proper divisors (25053917949120).

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

8243767855680 is a wasteful number, since it uses less digits than its factorization.

8243767855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 69.

The spelling of 8243767855680 in words is "eight trillion, two hundred forty-three billion, seven hundred sixty-seven million, eight hundred fifty-five thousand, six hundred eighty".