18426631680 has 480 divisors, whose sum is σ = 69708038400. Its totient is φ = 4652163072.

The previous prime is 18426631679. The next prime is 18426631733. The reversal of 18426631680 is 8613662481.

18426631680 is a `hidden beast` number, since 1 + 8 + 4 + 2 + 6 + 631 + 6 + 8 + 0 = 666.

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

It is a super-3 number, since 3×18426631680³ (a number of 32 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 11818741 + ... + 11820299.

It is an arithmetic number, because the mean of its divisors is an integer number (145225080).

Almost surely, 2^18426631680 is an apocalyptic number.

18426631680 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 18426631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34854019200).

18426631680 is an abundant number, since it is smaller than the sum of its proper divisors (51281406720).

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

18426631680 is an equidigital number, since it uses as much as digits as its factorization.

18426631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 18426631680 in words is "eighteen billion, four hundred twenty-six million, six hundred thirty-one thousand, six hundred eighty".