3066226308480 has 1024 divisors, whose sum is σ = 10915801989120. Its totient is φ = 728686264320.

The previous prime is 3066226308473. The next prime is 3066226308487. The reversal of 3066226308480 is 848036226603.

It is an interprime number because it is at equal distance from previous prime (3066226308473) and next prime (3066226308487).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3066226308487) by changing a digit.

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, 13749893649 + ... + 13749893871.

It is an arithmetic number, because the mean of its divisors is an integer number (10659962880).

Almost surely, 2^{3066226308480} is an apocalyptic number.

3066226308480 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 3066226308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457900994560).

3066226308480 is an abundant number, since it is smaller than the sum of its proper divisors (7849575680640).

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

3066226308480 is a wasteful number, since it uses less digits than its factorization.

3066226308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 3066226308480 in words is "three trillion, sixty-six billion, two hundred twenty-six million, three hundred eight thousand, four hundred eighty".