3027180480000 has 800 divisors, whose sum is σ = 10727324657280. Its totient is φ = 755712000000.

The previous prime is 3027180479977. The next prime is 3027180480001. The reversal of 3027180480000 is 840817203.

It is a tau number, because it is divible by the number of its divisors (800).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3027180480001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4096319631 + ... + 4096320369.

Almost surely, 2^{3027180480000} is an apocalyptic number.

3027180480000 is a gapful number since it is divisible by the number (30) 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 3027180480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5363662328640).

3027180480000 is an abundant number, since it is smaller than the sum of its proper divisors (7700144177280).

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

3027180480000 is an equidigital number, since it uses as much as digits as its factorization.

3027180480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 3027180480000 in words is "three trillion, twenty-seven billion, one hundred eighty million, four hundred eighty thousand".