8387327720520 has 576 divisors, whose sum is σ = 33546137040000. Its totient is φ = 1807062276096.

The previous prime is 8387327720507. The next prime is 8387327720561. The reversal of 8387327720520 is 250277237838.

8387327720520 is a `hidden beast` number, since 8 + 3 + 8 + 73 + 27 + 7 + 20 + 520 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66633964 + ... + 66759716.

It is an arithmetic number, because the mean of its divisors is an integer number (58239821250).

Almost surely, 2^{8387327720520} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8387327720520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16773068520000).

8387327720520 is an abundant number, since it is smaller than the sum of its proper divisors (25158809319480).

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

8387327720520 is a wasteful number, since it uses less digits than its factorization.

8387327720520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126002 (or 125988 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 8387327720520 in words is "eight trillion, three hundred eighty-seven billion, three hundred twenty-seven million, seven hundred twenty thousand, five hundred twenty".