3068143128576 has 416 divisors, whose sum is σ = 9288594000000. Its totient is φ = 1000452390912.

The previous prime is 3068143128569. The next prime is 3068143128587. The reversal of 3068143128576 is 6758213418603.

3068143128576 is a `hidden beast` number, since 3 + 0 + 6 + 8 + 1 + 43 + 1 + 28 + 576 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2924826100 + ... + 2924827148.

Almost surely, 2^{3068143128576} is an apocalyptic number.

3068143128576 is a gapful number since it is divisible by the number (36) 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 3068143128576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644297000000).

3068143128576 is an abundant number, since it is smaller than the sum of its proper divisors (6220450871424).

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

3068143128576 is a wasteful number, since it uses less digits than its factorization.

3068143128576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3068143128576 in words is "three trillion, sixty-eight billion, one hundred forty-three million, one hundred twenty-eight thousand, five hundred seventy-six".