18868640000 has 360 divisors, whose sum is σ = 57009351168. Its totient is φ = 6082560000.

The previous prime is 18868639997. The next prime is 18868640009. The reversal of 18868640000 is 4686881.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18868640000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18868640009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19039505 + ... + 19040495.

Almost surely, 2^18868640000 is an apocalyptic number.

18868640000 is a gapful number since it is divisible by the number (10) 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 18868640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28504675584).

18868640000 is an abundant number, since it is smaller than the sum of its proper divisors (38140711168).

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

18868640000 is an frugal number, since it uses more digits than its factorization.

18868640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 18868640000 in words is "eighteen billion, eight hundred sixty-eight million, six hundred forty thousand".