18641960960 has 480 divisors, whose sum is σ = 56621376000. Its totient is φ = 5747245056.

The previous prime is 18641960959. The next prime is 18641960983. The reversal of 18641960960 is 6906914681.

It is a junction number, because it is equal to n+sod(n) for n = 18641960899 and 18641960908.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 315965411 + ... + 315965469.

It is an arithmetic number, because the mean of its divisors is an integer number (117961200).

Almost surely, 2^18641960960 is an apocalyptic number.

18641960960 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 18641960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28310688000).

18641960960 is an abundant number, since it is smaller than the sum of its proper divisors (37979415040).

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

18641960960 is an equidigital number, since it uses as much as digits as its factorization.

18641960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 50.

The spelling of 18641960960 in words is "eighteen billion, six hundred forty-one million, nine hundred sixty thousand, nine hundred sixty".