18459607680 has 384 divisors, whose sum is σ = 65302848000. Its totient is φ = 4803821568.

The previous prime is 18459607679. The next prime is 18459607703. The reversal of 18459607680 is 8670695481.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51419341 + ... + 51419699.

It is an arithmetic number, because the mean of its divisors is an integer number (170059500).

Almost surely, 2^18459607680 is an apocalyptic number.

18459607680 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 18459607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32651424000).

18459607680 is an abundant number, since it is smaller than the sum of its proper divisors (46843240320).

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

18459607680 is a wasteful number, since it uses less digits than its factorization.

18459607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 18459607680 in words is "eighteen billion, four hundred fifty-nine million, six hundred seven thousand, six hundred eighty".