18664005588480 has 960 divisors, whose sum is σ = 76685991782400. Its totient is φ = 4261763579904.

The previous prime is 18664005588451. The next prime is 18664005588563. The reversal of 18664005588480 is 8488550046681.

18664005588480 is a `hidden beast` number, since 1 + 8 + 6 + 6 + 4 + 0 + 0 + 5 + 588 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×18664005588480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6745212057 + ... + 6745214823.

It is an arithmetic number, because the mean of its divisors is an integer number (79881241440).

Almost surely, 2^{18664005588480} is an apocalyptic number.

18664005588480 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 18664005588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38342995891200).

18664005588480 is an abundant number, since it is smaller than the sum of its proper divisors (58021986193920).

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

18664005588480 is an equidigital number, since it uses as much as digits as its factorization.

18664005588480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361 (or 4333 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 18664005588480 in words is "eighteen trillion, six hundred sixty-four billion, five million, five hundred eighty-eight thousand, four hundred eighty".