3064516334160 has 240 divisors, whose sum is σ = 9904139606400. Its totient is φ = 783791769600.

The previous prime is 3064516334147. The next prime is 3064516334161. The reversal of 3064516334160 is 614336154603.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3064516334161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30427566 + ... + 30528114.

It is an arithmetic number, because the mean of its divisors is an integer number (41267248360).

Almost surely, 2^{3064516334160} is an apocalyptic number.

3064516334160 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 3064516334160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952069803200).

3064516334160 is an abundant number, since it is smaller than the sum of its proper divisors (6839623272240).

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

3064516334160 is a wasteful number, since it uses less digits than its factorization.

3064516334160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100774 (or 100739 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 3064516334160 in words is "three trillion, sixty-four billion, five hundred sixteen million, three hundred thirty-four thousand, one hundred sixty".