3064414630464 has 336 divisors, whose sum is σ = 9947960231040. Its totient is φ = 893383680000.

The previous prime is 3064414630441. The next prime is 3064414630481. The reversal of 3064414630464 is 4640364144603.

3064414630464 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 4 + 1 + 4 + 630 + 4 + 6 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 51602389 + ... + 51661739.

Almost surely, 2^{3064414630464} 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 3064414630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973980115520).

3064414630464 is an abundant number, since it is smaller than the sum of its proper divisors (6883545600576).

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

3064414630464 is a wasteful number, since it uses less digits than its factorization.

3064414630464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59690 (or 59677 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 3064414630464 in words is "three trillion, sixty-four billion, four hundred fourteen million, six hundred thirty thousand, four hundred sixty-four".