6618300480000 has 1600 divisors, whose sum is σ = 27059918054400. Its totient is φ = 1583216640000.

The previous prime is 6618300479983. The next prime is 6618300480067. The reversal of 6618300480000 is 840038166.

It is a happy number.

6618300480000 is a `hidden beast` number, since 6 + 618 + 30 + 0 + 4 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7888319581 + ... + 7888320419.

It is an arithmetic number, because the mean of its divisors is an integer number (16912448784).

Almost surely, 2^{6618300480000} is an apocalyptic number.

6618300480000 is a gapful number since it is divisible by the number (60) 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 6618300480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13529959027200).

6618300480000 is an abundant number, since it is smaller than the sum of its proper divisors (20441617574400).

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

6618300480000 is an equidigital number, since it uses as much as digits as its factorization.

6618300480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 6618300480000 in words is "six trillion, six hundred eighteen billion, three hundred million, four hundred eighty thousand".