18682140672 has 240 divisors, whose sum is σ = 60101561520. Its totient is φ = 5747687424.

The previous prime is 18682140649. The next prime is 18682140689. The reversal of 18682140672 is 27604128681.

It is a super-3 number, since 3×18682140672³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2152213 + ... + 2160875.

It is an arithmetic number, because the mean of its divisors is an integer number (250423173).

Almost surely, 2^18682140672 is an apocalyptic number.

18682140672 is a gapful number since it is divisible by the number (12) 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 18682140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30050780760).

18682140672 is an abundant number, since it is smaller than the sum of its proper divisors (41419420848).

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

18682140672 is an equidigital number, since it uses as much as digits as its factorization.

18682140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8710 (or 8681 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 18682140672 in words is "eighteen billion, six hundred eighty-two million, one hundred forty thousand, six hundred seventy-two".