18326407680 has 640 divisors, whose sum is σ = 76012992000. Its totient is φ = 4183474176.

The previous prime is 18326407669. The next prime is 18326407703. The reversal of 18326407680 is 8670462381.

18326407680 is a `hidden beast` number, since 183 + 2 + 6 + 407 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

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 63 ways as a sum of consecutive naturals, for example, 23707774 + ... + 23708546.

It is an arithmetic number, because the mean of its divisors is an integer number (118770300).

Almost surely, 2^18326407680 is an apocalyptic number.

18326407680 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 18326407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38006496000).

18326407680 is an abundant number, since it is smaller than the sum of its proper divisors (57686584320).

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

18326407680 is an frugal number, since it uses more digits than its factorization.

18326407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 18326407680 in words is "eighteen billion, three hundred twenty-six million, four hundred seven thousand, six hundred eighty".