18040513680 has 480 divisors, whose sum is σ = 76063703040. Its totient is φ = 3736212480.

The previous prime is 18040513651. The next prime is 18040513693. The reversal of 18040513680 is 8631504081.

18040513680 is a `hidden beast` number, since 1 + 80 + 4 + 0 + 513 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2198385 + ... + 2206575.

It is an arithmetic number, because the mean of its divisors is an integer number (158466048).

Almost surely, 2^18040513680 is an apocalyptic number.

18040513680 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 18040513680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38031851520).

18040513680 is an abundant number, since it is smaller than the sum of its proper divisors (58023189360).

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

18040513680 is a wasteful number, since it uses less digits than its factorization.

18040513680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 18040513680 in words is "eighteen billion, forty million, five hundred thirteen thousand, six hundred eighty".