18643415040 has 312 divisors, whose sum is σ = 66225611088. Its totient is φ = 4848353280.

The previous prime is 18643415039. The next prime is 18643415057. The reversal of 18643415040 is 4051434681.

18643415040 is a `hidden beast` number, since 1 + 8 + 643 + 4 + 1 + 5 + 0 + 4 + 0 = 666.

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 = 18643414986 and 18643415004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7555887 + ... + 7558353.

It is an arithmetic number, because the mean of its divisors is an integer number (212261574).

Almost surely, 2^18643415040 is an apocalyptic number.

18643415040 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 18643415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33112805544).

18643415040 is an abundant number, since it is smaller than the sum of its proper divisors (47582196048).

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

18643415040 is a wasteful number, since it uses less digits than its factorization.

18643415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 18643415040 in words is "eighteen billion, six hundred forty-three million, four hundred fifteen thousand, forty".