330704144820 has 720 divisors, whose sum is σ = 1252005788880. Its totient is φ = 72801275904.

The previous prime is 330704144807. The next prime is 330704144843. The reversal of 330704144820 is 28441407033.

It can be written as a sum of positive squares in 8 ways, for example, as 92439105444 + 238265039376 = 304038^2 + 488124^2 .

It is a super-2 number, since 2×330704144820² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 320139024 + ... + 320140056.

It is an arithmetic number, because the mean of its divisors is an integer number (1738896929).

Almost surely, 2^330704144820 is an apocalyptic number.

330704144820 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 330704144820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626002894440).

330704144820 is an abundant number, since it is smaller than the sum of its proper divisors (921301644060).

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

330704144820 is a wasteful number, since it uses less digits than its factorization.

330704144820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 330704144820 in words is "three hundred thirty billion, seven hundred four million, one hundred forty-four thousand, eight hundred twenty".