18471075840 has 480 divisors, whose sum is σ = 75117692160. Its totient is φ = 4218421248.

The previous prime is 18471075817. The next prime is 18471075851. The reversal of 18471075840 is 4857017481.

18471075840 is a `hidden beast` number, since 18 + 47 + 10 + 7 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15482284 + ... + 15483476.

It is an arithmetic number, because the mean of its divisors is an integer number (156495192).

Almost surely, 2^18471075840 is an apocalyptic number.

18471075840 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 18471075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37558846080).

18471075840 is an abundant number, since it is smaller than the sum of its proper divisors (56646616320).

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

18471075840 is an equidigital number, since it uses as much as digits as its factorization.

18471075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 18471075840 in words is "eighteen billion, four hundred seventy-one million, seventy-five thousand, eight hundred forty".