18640841489280 has 1024 divisors, whose sum is σ = 67986345600000. Its totient is φ = 4825402343424.

The previous prime is 18640841489203. The next prime is 18640841489299. The reversal of 18640841489280 is 8298414804681.

18640841489280 is a `hidden beast` number, since 1 + 8 + 6 + 408 + 4 + 148 + 9 + 2 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42078648739 + ... + 42078649181.

It is an arithmetic number, because the mean of its divisors is an integer number (66392915625).

Almost surely, 2^{18640841489280} is an apocalyptic number.

18640841489280 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 18640841489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33993172800000).

18640841489280 is an abundant number, since it is smaller than the sum of its proper divisors (49345504110720).

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

18640841489280 is a wasteful number, since it uses less digits than its factorization.

18640841489280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 18640841489280 in words is "eighteen trillion, six hundred forty billion, eight hundred forty-one million, four hundred eighty-nine thousand, two hundred eighty".