18580440960 has 384 divisors, whose sum is σ = 68356360800. Its totient is φ = 4819378176.

The previous prime is 18580440947. The next prime is 18580440979. The reversal of 18580440960 is 6904408581.

18580440960 is a `hidden beast` number, since 1 + 8 + 580 + 4 + 4 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5752626 + ... + 5755854.

Almost surely, 2^18580440960 is an apocalyptic number.

18580440960 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 18580440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34178180400).

18580440960 is an abundant number, since it is smaller than the sum of its proper divisors (49775919840).

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

18580440960 is an equidigital number, since it uses as much as digits as its factorization.

18580440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 18580440960 in words is "eighteen billion, five hundred eighty million, four hundred forty thousand, nine hundred sixty".