18160208640 has 576 divisors, whose sum is σ = 74188369920. Its totient is φ = 4120657920.

The previous prime is 18160208629. The next prime is 18160208653. The reversal of 18160208640 is 4680206181.

18160208640 is a `hidden beast` number, since 1 + 8 + 1 + 6 + 0 + 2 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18160208595 and 18160208604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65560182 + ... + 65560458.

Almost surely, 2^18160208640 is an apocalyptic number.

18160208640 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 18160208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37094184960).

18160208640 is an abundant number, since it is smaller than the sum of its proper divisors (56028161280).

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

18160208640 is a wasteful number, since it uses less digits than its factorization.

18160208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 18160208640 in words is "eighteen billion, one hundred sixty million, two hundred eight thousand, six hundred forty".