8687947444200 has 1152 divisors, whose sum is σ = 32926706841600. Its totient is φ = 2042271221760.

The previous prime is 8687947444193. The next prime is 8687947444201. The reversal of 8687947444200 is 24447497868.

8687947444200 is a `hidden beast` number, since 8 + 6 + 87 + 94 + 7 + 44 + 420 + 0 = 666.

It is a super-2 number, since 2×8687947444200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8687947444201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13428048277 + ... + 13428048923.

It is an arithmetic number, because the mean of its divisors is an integer number (28582210800).

Almost surely, 2^{8687947444200} 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 8687947444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16463353420800).

8687947444200 is an abundant number, since it is smaller than the sum of its proper divisors (24238759397400).

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

8687947444200 is a wasteful number, since it uses less digits than its factorization.

8687947444200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 8687947444200 in words is "eight trillion, six hundred eighty-seven billion, nine hundred forty-seven million, four hundred forty-four thousand, two hundred".