3330609684480 has 2240 divisors, whose sum is σ = 13811570454528. Its totient is φ = 761863864320.

The previous prime is 3330609684443. The next prime is 3330609684539. The reversal of 3330609684480 is 844869060333.

It is a super-2 number, since 2×3330609684480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 62841692134 + ... + 62841692186.

Almost surely, 2^{3330609684480} is an apocalyptic number.

3330609684480 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 3330609684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905785227264).

3330609684480 is an abundant number, since it is smaller than the sum of its proper divisors (10480960770048).

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

3330609684480 is a wasteful number, since it uses less digits than its factorization.

3330609684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 3330609684480 in words is "three trillion, three hundred thirty billion, six hundred nine million, six hundred eighty-four thousand, four hundred eighty".