8825784561360 has 320 divisors, whose sum is σ = 32823899136000. Its totient is φ = 2166825848832.

The previous prime is 8825784561337. The next prime is 8825784561361. The reversal of 8825784561360 is 631654875288.

8825784561360 is a `hidden beast` number, since 8 + 8 + 2 + 5 + 7 + 8 + 4 + 5 + 613 + 6 + 0 = 666.

It is a super-3 number, since 3×8825784561360³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8825784561361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10344316 + ... + 11164964.

It is an arithmetic number, because the mean of its divisors is an integer number (102574684800).

Almost surely, 2^{8825784561360} is an apocalyptic number.

8825784561360 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 8825784561360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16411949568000).

8825784561360 is an abundant number, since it is smaller than the sum of its proper divisors (23998114574640).

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

8825784561360 is a wasteful number, since it uses less digits than its factorization.

8825784561360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821067 (or 821055 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 8825784561360 in words is "eight trillion, eight hundred twenty-five billion, seven hundred eighty-four million, five hundred sixty-one thousand, three hundred sixty".