8282721484800 has 1368 divisors, whose sum is σ = 35212356431616. Its totient is φ = 1890645442560.

The previous prime is 8282721484787. The next prime is 8282721484847. The reversal of 8282721484800 is 84841272828.

8282721484800 is a `hidden beast` number, since 8 + 2 + 82 + 7 + 2 + 1 + 484 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11147673229 + ... + 11147673971.

Almost surely, 2^{8282721484800} is an apocalyptic number.

8282721484800 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 8282721484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606178215808).

8282721484800 is an abundant number, since it is smaller than the sum of its proper divisors (26929634946816).

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

8282721484800 is an frugal number, since it uses more digits than its factorization.

8282721484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 54.

It can be divided in two parts, 8282721 and 484800, that added together give a square (8767521 = 2961²).

The spelling of 8282721484800 in words is "eight trillion, two hundred eighty-two billion, seven hundred twenty-one million, four hundred eighty-four thousand, eight hundred".