8827686672000 has 2048 divisors, whose sum is σ = 37394472960000. Its totient is φ = 1795693363200.

The previous prime is 8827686671963. The next prime is 8827686672109. The reversal of 8827686672000 is 2766867288.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8663087491 + ... + 8663088509.

It is an arithmetic number, because the mean of its divisors is an integer number (18259020000).

Almost surely, 2^{8827686672000} is an apocalyptic number.

8827686672000 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 8827686672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18697236480000).

8827686672000 is an abundant number, since it is smaller than the sum of its proper divisors (28566786288000).

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

8827686672000 is a wasteful number, since it uses less digits than its factorization.

8827686672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 8827686672000 in words is "eight trillion, eight hundred twenty-seven billion, six hundred eighty-six million, six hundred seventy-two thousand".