18430008672 has 96 divisors (see below), whose sum is σ = 48833777664. Its totient is φ = 6085836800.

The previous prime is 18430008647. The next prime is 18430008869. The reversal of 18430008672 is 27680003481.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 18430008672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4710397 + ... + 4714307.

It is an arithmetic number, because the mean of its divisors is an integer number (508685184).

Almost surely, 2^18430008672 is an apocalyptic number.

18430008672 is a gapful number since it is divisible by the number (12) 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 18430008672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24416888832).

18430008672 is an abundant number, since it is smaller than the sum of its proper divisors (30403768992).

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

18430008672 is a wasteful number, since it uses less digits than its factorization.

18430008672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 18430008672 in words is "eighteen billion, four hundred thirty million, eight thousand, six hundred seventy-two".