330968000160 has 768 divisors, whose sum is σ = 1345036492800. Its totient is φ = 74451197952.

The previous prime is 330968000141. The next prime is 330968000179. The reversal of 330968000160 is 61000869033.

It is a happy number.

330968000160 is a `hidden beast` number, since 330 + 96 + 80 + 0 + 0 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (330968000141) and next prime (330968000179).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 753913221 + ... + 753913659.

It is an arithmetic number, because the mean of its divisors is an integer number (1751349600).

Almost surely, 2^330968000160 is an apocalyptic number.

330968000160 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 330968000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672518246400).

330968000160 is an abundant number, since it is smaller than the sum of its proper divisors (1014068492640).

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

330968000160 is a wasteful number, since it uses less digits than its factorization.

330968000160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 330968000160 its reverse (61000869033), we get a palindrome (391968869193).

The spelling of 330968000160 in words is "three hundred thirty billion, nine hundred sixty-eight million, one hundred sixty", and thus it is an aban number.