3064449761280 has 384 divisors, whose sum is σ = 10694393461440. Its totient is φ = 811715788800.

The previous prime is 3064449761273. The next prime is 3064449761287. The reversal of 3064449761280 is 821679444603.

3064449761280 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 449 + 76 + 128 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3064449761273) and next prime (3064449761287).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×3064449761280³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3064449761287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222651679 + ... + 222665441.

Almost surely, 2^{3064449761280} is an apocalyptic number.

3064449761280 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 3064449761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347196730720).

3064449761280 is an abundant number, since it is smaller than the sum of its proper divisors (7629943700160).

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

3064449761280 is a wasteful number, since it uses less digits than its factorization.

3064449761280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13955 (or 13924 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3064449761280 in words is "three trillion, sixty-four billion, four hundred forty-nine million, seven hundred sixty-one thousand, two hundred eighty".