887409605664 has 240 divisors, whose sum is σ = 2650794272280. Its totient is φ = 291178229760.

The previous prime is 887409605651. The next prime is 887409605683. The reversal of 887409605664 is 466506904788.

887409605664 is a `hidden beast` number, since 8 + 8 + 7 + 4 + 0 + 9 + 60 + 566 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 727643120400 + 159766485264 = 853020^2 + 399708^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102361522 + ... + 102370190.

Almost surely, 2^887409605664 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 887409605664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325397136140).

887409605664 is an abundant number, since it is smaller than the sum of its proper divisors (1763384666616).

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

887409605664 is a wasteful number, since it uses less digits than its factorization.

887409605664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9305 (or 9288 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 887409605664 in words is "eight hundred eighty-seven billion, four hundred nine million, six hundred five thousand, six hundred sixty-four".