330048805680 has 480 divisors, whose sum is σ = 1258004482560. Its totient is φ = 79472448000.

The previous prime is 330048805661. The next prime is 330048805733. The reversal of 330048805680 is 86508840033.

330048805680 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 4 + 8 + 80 + 568 + 0 = 666.

It is a super-3 number, since 3×330048805680³ (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39461179 + ... + 39469541.

It is an arithmetic number, because the mean of its divisors is an integer number (2620842672).

Almost surely, 2^330048805680 is an apocalyptic number.

330048805680 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 330048805680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629002241280).

330048805680 is an abundant number, since it is smaller than the sum of its proper divisors (927955676880).

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

330048805680 is a wasteful number, since it uses less digits than its factorization.

330048805680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8558 (or 8535 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 330048805680 in words is "three hundred thirty billion, forty-eight million, eight hundred five thousand, six hundred eighty".