18628066800 has 240 divisors, whose sum is σ = 75774158080. Its totient is φ = 4257826560.

The previous prime is 18628066789. The next prime is 18628066801. The reversal of 18628066800 is 866082681.

18628066800 is a `hidden beast` number, since 18 + 628 + 0 + 6 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (18628066801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47602 + ... + 198801.

Almost surely, 2^18628066800 is an apocalyptic number.

18628066800 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 18628066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37887079040).

18628066800 is an abundant number, since it is smaller than the sum of its proper divisors (57146091280).

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

18628066800 is a wasteful number, since it uses less digits than its factorization.

18628066800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246437 (or 246420 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 18628066800 in words is "eighteen billion, six hundred twenty-eight million, sixty-six thousand, eight hundred".