3326467480560 has 800 divisors, whose sum is σ = 14265959241600. Its totient is φ = 715601682432.

The previous prime is 3326467480559. The next prime is 3326467480573. The reversal of 3326467480560 is 650847646233.

3326467480560 is a `hidden beast` number, since 3 + 3 + 2 + 6 + 4 + 6 + 74 + 8 + 0 + 560 = 666.

It is a super-2 number, since 2×3326467480560² (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 = 3326467480497 and 3326467480506.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 37740862 + ... + 37828898.

It is an arithmetic number, because the mean of its divisors is an integer number (17832449052).

Almost surely, 2^{3326467480560} is an apocalyptic number.

3326467480560 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 3326467480560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132979620800).

3326467480560 is an abundant number, since it is smaller than the sum of its proper divisors (10939491761040).

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

3326467480560 is a wasteful number, since it uses less digits than its factorization.

3326467480560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88100 (or 88071 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 3326467480560 in words is "three trillion, three hundred twenty-six billion, four hundred sixty-seven million, four hundred eighty thousand, five hundred sixty".