18675666828 has 288 divisors, whose sum is σ = 60613862400. Its totient is φ = 4896080640.

The previous prime is 18675666803. The next prime is 18675666839. The reversal of 18675666828 is 82866657681.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17601418 + ... + 17602478.

It is an arithmetic number, because the mean of its divisors is an integer number (210464800).

Almost surely, 2^18675666828 is an apocalyptic number.

18675666828 is a gapful number since it is divisible by the number (18) 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 18675666828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30306931200).

18675666828 is an abundant number, since it is smaller than the sum of its proper divisors (41938195572).

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

18675666828 is a wasteful number, since it uses less digits than its factorization.

18675666828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1285 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 18675666828 in words is "eighteen billion, six hundred seventy-five million, six hundred sixty-six thousand, eight hundred twenty-eight".