18468209760 has 1728 divisors, whose sum is σ = 88900519680. Its totient is φ = 3158507520.

The previous prime is 18468209759. The next prime is 18468209819. The reversal of 18468209760 is 6790286481.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 972011031 + ... + 972011049.

It is an arithmetic number, because the mean of its divisors is an integer number (51447060).

Almost surely, 2^18468209760 is an apocalyptic number.

18468209760 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 18468209760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44450259840).

18468209760 is an abundant number, since it is smaller than the sum of its proper divisors (70432309920).

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

18468209760 is a wasteful number, since it uses less digits than its factorization.

18468209760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 18468209760 in words is "eighteen billion, four hundred sixty-eight million, two hundred nine thousand, seven hundred sixty".