18720460800 has 780 divisors, whose sum is σ = 72386782996. Its totient is φ = 4777574400.

The previous prime is 18720460789. The next prime is 18720460831. The reversal of 18720460800 is 806402781.

It can be written as a sum of positive squares in 6 ways, for example, as 862949376 + 17857511424 = 29376^2 + 133632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 306892770 + ... + 306892830.

Almost surely, 2^18720460800 is an apocalyptic number.

18720460800 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 18720460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36193391498).

18720460800 is an abundant number, since it is smaller than the sum of its proper divisors (53666322196).

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

18720460800 is an equidigital number, since it uses as much as digits as its factorization.

18720460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

It can be divided in two parts, 187204 and 60800, that added together give a square (248004 = 498²).

The spelling of 18720460800 in words is "eighteen billion, seven hundred twenty million, four hundred sixty thousand, eight hundred".