3068046072000 has 3584 divisors, whose sum is σ = 14672722821120. Its totient is φ = 618098688000.

The previous prime is 3068046071929. The next prime is 3068046072059. The reversal of 3068046072000 is 2706408603.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 65277575977 + ... + 65277576023.

It is an arithmetic number, because the mean of its divisors is an integer number (4093951680).

Almost surely, 2^{3068046072000} is an apocalyptic number.

3068046072000 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 3068046072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336361410560).

3068046072000 is an abundant number, since it is smaller than the sum of its proper divisors (11604676749120).

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

3068046072000 is an equidigital number, since it uses as much as digits as its factorization.

3068046072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 3068046072000 in words is "three trillion, sixty-eight billion, forty-six million, seventy-two thousand".