330580768320 has 448 divisors, whose sum is σ = 1306633708800. Its totient is φ = 77973995520.

The previous prime is 330580768291. The next prime is 330580768321. The reversal of 330580768320 is 23867085033.

330580768320 is a `hidden beast` number, since 3 + 3 + 0 + 580 + 7 + 68 + 3 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (330580768321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3469476 + ... + 3563484.

It is an arithmetic number, because the mean of its divisors is an integer number (2916593100).

Almost surely, 2^330580768320 is an apocalyptic number.

330580768320 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 330580768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653316854400).

330580768320 is an abundant number, since it is smaller than the sum of its proper divisors (976052940480).

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

330580768320 is a wasteful number, since it uses less digits than its factorization.

330580768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94083 (or 94067 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 330580768320 in words is "three hundred thirty billion, five hundred eighty million, seven hundred sixty-eight thousand, three hundred twenty".