18721876320 has 288 divisors, whose sum is σ = 73284486912. Its totient is φ = 4263515136.

The previous prime is 18721876319. The next prime is 18721876343. The reversal of 18721876320 is 2367812781.

18721876320 is a `hidden beast` number, since 1 + 8 + 7 + 2 + 1 + 8 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2849359 + ... + 2855921.

It is an arithmetic number, because the mean of its divisors is an integer number (254460024).

Almost surely, 2^18721876320 is an apocalyptic number.

18721876320 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 18721876320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36642243456).

18721876320 is an abundant number, since it is smaller than the sum of its proper divisors (54562610592).

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

18721876320 is a wasteful number, since it uses less digits than its factorization.

18721876320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6874 (or 6863 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 18721876320 in words is "eighteen billion, seven hundred twenty-one million, eight hundred seventy-six thousand, three hundred twenty".