3064810528512 has 576 divisors, whose sum is σ = 9345756672000. Its totient is φ = 990420480000.

The previous prime is 3064810528511. The next prime is 3064810528513. The reversal of 3064810528512 is 2158250184603.

3064810528512 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 8 + 105 + 28 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (3064810528511) and next prime (3064810528513).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3064810528511) 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 63 ways as a sum of consecutive naturals, for example, 12210400387 + ... + 12210400637.

It is an arithmetic number, because the mean of its divisors is an integer number (16225272000).

Almost surely, 2^{3064810528512} is an apocalyptic number.

3064810528512 is a gapful number since it is divisible by the number (32) 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 3064810528512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672878336000).

3064810528512 is an abundant number, since it is smaller than the sum of its proper divisors (6280946143488).

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

3064810528512 is a wasteful number, since it uses less digits than its factorization.

3064810528512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 3064810528512 in words is "three trillion, sixty-four billion, eight hundred ten million, five hundred twenty-eight thousand, five hundred twelve".