18764020800 has 1008 divisors, whose sum is σ = 81070704000. Its totient is φ = 4109414400.

The previous prime is 18764020739. The next prime is 18764020801. The reversal of 18764020800 is 802046781.

18764020800 is a `hidden beast` number, since 1 + 8 + 7 + 640 + 2 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18764020801) 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, 143236735 + ... + 143236865.

Almost surely, 2^18764020800 is an apocalyptic number.

18764020800 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 18764020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40535352000).

18764020800 is an abundant number, since it is smaller than the sum of its proper divisors (62306683200).

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

18764020800 is a wasteful number, since it uses less digits than its factorization.

18764020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 177 counting only the distinct ones).

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

The spelling of 18764020800 in words is "eighteen billion, seven hundred sixty-four million, twenty thousand, eight hundred".