3064734296064 has 768 divisors, whose sum is σ = 10967733504000. Its totient is φ = 826042613760.

The previous prime is 3064734296011. The next prime is 3064734296077. The reversal of 3064734296064 is 4606924374603.

3064734296064 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 7 + 3 + 4 + 29 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3064734296064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2066576667 + ... + 2066578149.

It is an arithmetic number, because the mean of its divisors is an integer number (14280903000).

Almost surely, 2^{3064734296064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3064734296064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483866752000).

3064734296064 is an abundant number, since it is smaller than the sum of its proper divisors (7902999207936).

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

3064734296064 is a wasteful number, since it uses less digits than its factorization.

3064734296064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 3064734296064 in words is "three trillion, sixty-four billion, seven hundred thirty-four million, two hundred ninety-six thousand, sixty-four".