18506607840 has 576 divisors, whose sum is σ = 76320631296. Its totient is φ = 4147034112.

The previous prime is 18506607799. The next prime is 18506607853. The reversal of 18506607840 is 4870660581.

It is a happy number.

18506607840 is a `hidden beast` number, since 1 + 8 + 506 + 60 + 7 + 84 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 14423839 + ... + 14425121.

It is an arithmetic number, because the mean of its divisors is an integer number (132501096).

Almost surely, 2^18506607840 is an apocalyptic number.

18506607840 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 18506607840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38160315648).

18506607840 is an abundant number, since it is smaller than the sum of its proper divisors (57814023456).

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

18506607840 is a wasteful number, since it uses less digits than its factorization.

18506607840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 18506607840 in words is "eighteen billion, five hundred six million, six hundred seven thousand, eight hundred forty".