8284565640960 has 864 divisors, whose sum is σ = 34030125222912. Its totient is φ = 1890366750720.

The previous prime is 8284565640959. The next prime is 8284565641043. The reversal of 8284565640960 is 690465654828.

8284565640960 is a `hidden beast` number, since 8 + 2 + 8 + 4 + 5 + 6 + 564 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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, 1408697220 + ... + 1408703100.

It is an arithmetic number, because the mean of its divisors is an integer number (39386719008).

Almost surely, 2^{8284565640960} is an apocalyptic number.

8284565640960 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 8284565640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17015062611456).

8284565640960 is an abundant number, since it is smaller than the sum of its proper divisors (25745559581952).

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

8284565640960 is an equidigital number, since it uses as much as digits as its factorization.

8284565640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6571 (or 6545 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 8284565640960 in words is "eight trillion, two hundred eighty-four billion, five hundred sixty-five million, six hundred forty thousand, nine hundred sixty".