18373645440 has 384 divisors, whose sum is σ = 67044257280. Its totient is φ = 4629381120.

The previous prime is 18373645417. The next prime is 18373645447. The reversal of 18373645440 is 4454637381.

18373645440 is a `hidden beast` number, since 1 + 83 + 73 + 64 + 5 + 440 = 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 not an unprimeable number, because it can be changed into a prime (18373645447) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7676884 + ... + 7679276.

It is an arithmetic number, because the mean of its divisors is an integer number (174594420).

Almost surely, 2^18373645440 is an apocalyptic number.

18373645440 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 18373645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33522128640).

18373645440 is an abundant number, since it is smaller than the sum of its proper divisors (48670611840).

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

18373645440 is a wasteful number, since it uses less digits than its factorization.

18373645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 18373645440 in words is "eighteen billion, three hundred seventy-three million, six hundred forty-five thousand, four hundred forty".