330055680 has 240 divisors, whose sum is σ = 1132427520. Its totient is φ = 81788928.

The previous prime is 330055637. The next prime is 330055709. The reversal of 330055680 is 86550033.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4177881 + ... + 4177959.

It is an arithmetic number, because the mean of its divisors is an integer number (4718448).

Almost surely, 2^330055680 is an apocalyptic number.

330055680 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 330055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566213760).

330055680 is an abundant number, since it is smaller than the sum of its proper divisors (802371840).

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

330055680 is an equidigital number, since it uses as much as digits as its factorization.

330055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 330055680 is about 18167.4346015061. The cubic root of 330055680 is about 691.0811867109.

The spelling of 330055680 in words is "three hundred thirty million, fifty-five thousand, six hundred eighty".