18720979200 has 1620 divisors, whose sum is σ = 89152387632. Its totient is φ = 3832012800.

The previous prime is 18720979183. The next prime is 18720979213. The reversal of 18720979200 is 297902781.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 179 ways as a sum of consecutive naturals, for example, 279417567 + ... + 279417633.

Almost surely, 2^18720979200 is an apocalyptic number.

18720979200 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 18720979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44576193816).

18720979200 is an abundant number, since it is smaller than the sum of its proper divisors (70431408432).

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

18720979200 is a wasteful number, since it uses less digits than its factorization.

18720979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 18720979200 in words is "eighteen billion, seven hundred twenty million, nine hundred seventy-nine thousand, two hundred".