18640860480000 has 4800 divisors, whose sum is σ = 84873647738880. Its totient is φ = 4031078400000.

The previous prime is 18640860479947. The next prime is 18640860480013. The reversal of 18640860480000 is 8406804681.

18640860480000 is a `hidden beast` number, since 186 + 408 + 60 + 4 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 503807039982 + ... + 503807040018.

Almost surely, 2^{18640860480000} is an apocalyptic number.

18640860480000 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 18640860480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42436823869440).

18640860480000 is an abundant number, since it is smaller than the sum of its proper divisors (66232787258880).

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

18640860480000 is an equidigital number, since it uses as much as digits as its factorization.

18640860480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 18640860480000 in words is "eighteen trillion, six hundred forty billion, eight hundred sixty million, four hundred eighty thousand".