18728740800 has 1512 divisors, whose sum is σ = 89619978240. Its totient is φ = 3657830400.

The previous prime is 18728740783. The next prime is 18728740801. The reversal of 18728740800 is 804782781.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18728740801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 147470337 + ... + 147470463.

Almost surely, 2^18728740800 is an apocalyptic number.

18728740800 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 18728740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44809989120).

18728740800 is an abundant number, since it is smaller than the sum of its proper divisors (70891237440).

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

18728740800 is a wasteful number, since it uses less digits than its factorization.

18728740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

It can be divided in two parts, 18728 and 740800, that added together give a triangular number (759528 = T₁₂₃₂).

The spelling of 18728740800 in words is "eighteen billion, seven hundred twenty-eight million, seven hundred forty thousand, eight hundred".