330315420960 has 2304 divisors, whose sum is σ = 1521657446400. Its totient is φ = 67304079360.

The previous prime is 330315420947. The next prime is 330315420971. The reversal of 330315420960 is 69024513033.

It is a happy number.

330315420960 is a `hidden beast` number, since 330 + 315 + 4 + 2 + 0 + 9 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7027987657 + ... + 7027987703.

It is an arithmetic number, because the mean of its divisors is an integer number (660441600).

Almost surely, 2^330315420960 is an apocalyptic number.

330315420960 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 330315420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760828723200).

330315420960 is an abundant number, since it is smaller than the sum of its proper divisors (1191342025440).

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

330315420960 is a wasteful number, since it uses less digits than its factorization.

330315420960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 330315420960 its reverse (69024513033), we get a palindrome (399339933993).

The spelling of 330315420960 in words is "three hundred thirty billion, three hundred fifteen million, four hundred twenty thousand, nine hundred sixty".