6885504456480 has 432 divisors, whose sum is σ = 26130953033640. Its totient is φ = 1649083318272.

The previous prime is 6885504456409. The next prime is 6885504456533. The reversal of 6885504456480 is 846544055886.

6885504456480 is a `hidden beast` number, since 6 + 8 + 8 + 5 + 50 + 445 + 64 + 80 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 17477897616 + 6868026558864 = 132204^2 + 2620692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8621976 + ... + 9386664.

Almost surely, 2^{6885504456480} is an apocalyptic number.

6885504456480 is a gapful number since it is divisible by the number (60) 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 6885504456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13065476516820).

6885504456480 is an abundant number, since it is smaller than the sum of its proper divisors (19245448577160).

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

6885504456480 is a wasteful number, since it uses less digits than its factorization.

6885504456480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764773 (or 764749 counting only the distinct ones).

The product of its (nonzero) digits is 147456000, while the sum is 63.

The spelling of 6885504456480 in words is "six trillion, eight hundred eighty-five billion, five hundred four million, four hundred fifty-six thousand, four hundred eighty".