18679538304 has 192 divisors, whose sum is σ = 63707192640. Its totient is φ = 5336948736.

The previous prime is 18679538291. The next prime is 18679538363. The reversal of 18679538304 is 40383597681.

18679538304 is a `hidden beast` number, since 1 + 8 + 6 + 79 + 538 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174832 + ... + 260624.

It is an arithmetic number, because the mean of its divisors is an integer number (331808295).

Almost surely, 2^18679538304 is an apocalyptic number.

18679538304 is a gapful number since it is divisible by the number (14) 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 18679538304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31853596320).

18679538304 is an abundant number, since it is smaller than the sum of its proper divisors (45027654336).

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

18679538304 is an frugal number, since it uses more digits than its factorization.

18679538304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85829 (or 85805 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 18679538304 in words is "eighteen billion, six hundred seventy-nine million, five hundred thirty-eight thousand, three hundred four".