18800627040 has 384 divisors, whose sum is σ = 73156608000. Its totient is φ = 4478146560.

The previous prime is 18800627011. The next prime is 18800627081. The reversal of 18800627040 is 4072600881.

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

It is a junction number, because it is equal to n+sod(n) for n = 18800626986 and 18800627004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1735561 + ... + 1746359.

It is an arithmetic number, because the mean of its divisors is an integer number (190512000).

Almost surely, 2^18800627040 is an apocalyptic number.

18800627040 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 18800627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36578304000).

18800627040 is an abundant number, since it is smaller than the sum of its proper divisors (54355980960).

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

18800627040 is a wasteful number, since it uses less digits than its factorization.

18800627040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10867 (or 10853 counting only the distinct ones).

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

The spelling of 18800627040 in words is "eighteen billion, eight hundred million, six hundred twenty-seven thousand, forty".