3326663446560 has 768 divisors, whose sum is σ = 12436558041600. Its totient is φ = 828913139712.

The previous prime is 3326663446549. The next prime is 3326663446591. The reversal of 3326663446560 is 656443666233.

It is a super-2 number, since 2×3326663446560² (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 a junction number, because it is equal to n+sod(n) for n = 3326663446497 and 3326663446506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 913164099 + ... + 913167741.

It is an arithmetic number, because the mean of its divisors is an integer number (16193434950).

Almost surely, 2^{3326663446560} is an apocalyptic number.

3326663446560 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 3326663446560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6218279020800).

3326663446560 is an abundant number, since it is smaller than the sum of its proper divisors (9109894595040).

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

3326663446560 is a wasteful number, since it uses less digits than its factorization.

3326663446560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 54.

The spelling of 3326663446560 in words is "three trillion, three hundred twenty-six billion, six hundred sixty-three million, four hundred forty-six thousand, five hundred sixty".