18038628720 has 720 divisors, whose sum is σ = 75716091360. Its totient is φ = 3974842368.

The previous prime is 18038628683. The next prime is 18038628721. The reversal of 18038628720 is 2782683081.

18038628720 is a `hidden beast` number, since 18 + 0 + 3 + 8 + 628 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (18038628721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27623914 + ... + 27624566.

It is an arithmetic number, because the mean of its divisors is an integer number (105161238).

Almost surely, 2^18038628720 is an apocalyptic number.

18038628720 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 18038628720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37858045680).

18038628720 is an abundant number, since it is smaller than the sum of its proper divisors (57677462640).

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

18038628720 is a wasteful number, since it uses less digits than its factorization.

18038628720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 18038628720 in words is "eighteen billion, thirty-eight million, six hundred twenty-eight thousand, seven hundred twenty".