330420964608 has 756 divisors, whose sum is σ = 1201101477408. Its totient is φ = 90243901440.

The previous prime is 330420964607. The next prime is 330420964649. The reversal of 330420964608 is 806469024033.

330420964608 is a `hidden beast` number, since 3 + 30 + 4 + 2 + 0 + 9 + 6 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330420964603) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 210324463 + ... + 210326033.

It is an arithmetic number, because the mean of its divisors is an integer number (1588758568).

Almost surely, 2^330420964608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330420964608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600550738704).

330420964608 is an abundant number, since it is smaller than the sum of its proper divisors (870680512800).

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

330420964608 is an equidigital number, since it uses as much as digits as its factorization.

330420964608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 330420964608 in words is "three hundred thirty billion, four hundred twenty million, nine hundred sixty-four thousand, six hundred eight".