8488313487360 has 2448 divisors, whose sum is σ = 38141484840576. Its totient is φ = 1704128937984.

The previous prime is 8488313487347. The next prime is 8488313487457. The reversal of 8488313487360 is 637843138848.

8488313487360 is a `hidden beast` number, since 8 + 4 + 8 + 83 + 13 + 487 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2448).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 126691246047 + ... + 126691246113.

It is an arithmetic number, because the mean of its divisors is an integer number (15580671912).

Almost surely, 2^{8488313487360} is an apocalyptic number.

8488313487360 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 8488313487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19070742420288).

8488313487360 is an abundant number, since it is smaller than the sum of its proper divisors (29653171353216).

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

8488313487360 is a wasteful number, since it uses less digits than its factorization.

8488313487360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 8488313487360 in words is "eight trillion, four hundred eighty-eight billion, three hundred thirteen million, four hundred eighty-seven thousand, three hundred sixty".