18973679862800 has 120 divisors (see below), whose sum is σ = 49172437736520. Its totient is φ = 6994008576000.

The previous prime is 18973679862793. The next prime is 18973679862811. The reversal of 18973679862800 is 826897637981.

18973679862800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 8589096272656 + 10384583590144 = 2930716^2 + 3222512^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89606 + ... + 6160794.

It is an arithmetic number, because the mean of its divisors is an integer number (409770314471).

Almost surely, 2^{18973679862800} is an apocalyptic number.

18973679862800 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 18973679862800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24586218868260).

18973679862800 is an abundant number, since it is smaller than the sum of its proper divisors (30198757873720).

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

18973679862800 is a wasteful number, since it uses less digits than its factorization.

18973679862800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6071821 (or 6071810 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 74.

The spelling of 18973679862800 in words is "eighteen trillion, nine hundred seventy-three billion, six hundred seventy-nine million, eight hundred sixty-two thousand, eight hundred".