18628300800 has 936 divisors, whose sum is σ = 74866067640. Its totient is φ = 4404019200.

The previous prime is 18628300787. The next prime is 18628300811. The reversal of 18628300800 is 800382681.

It can be written as a sum of positive squares in 12 ways, for example, as 6943555584 + 11684745216 = 83328^2 + 108096^2 .

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 454348780 + ... + 454348820.

It is an arithmetic number, because the mean of its divisors is an integer number (79985115).

Almost surely, 2^18628300800 is an apocalyptic number.

18628300800 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 18628300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37433033820).

18628300800 is an abundant number, since it is smaller than the sum of its proper divisors (56237766840).

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

18628300800 is a wasteful number, since it uses less digits than its factorization.

18628300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 18628300800 in words is "eighteen billion, six hundred twenty-eight million, three hundred thousand, eight hundred".