8610434687880 has 512 divisors, whose sum is σ = 31298055782400. Its totient is φ = 2099553426432.

The previous prime is 8610434687873. The next prime is 8610434687909. The reversal of 8610434687880 is 887864340168.

8610434687880 is a `hidden beast` number, since 8 + 61 + 0 + 43 + 468 + 78 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50115882 + ... + 50287398.

It is an arithmetic number, because the mean of its divisors is an integer number (61129015200).

Almost surely, 2^{8610434687880} 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 8610434687880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15649027891200).

8610434687880 is an abundant number, since it is smaller than the sum of its proper divisors (22687621094520).

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

8610434687880 is a wasteful number, since it uses less digits than its factorization.

8610434687880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171650 (or 171640 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 8610434687880 in words is "eight trillion, six hundred ten billion, four hundred thirty-four million, six hundred eighty-seven thousand, eight hundred eighty".