2668847027000 has 768 divisors, whose sum is σ = 8298668851200. Its totient is φ = 784194048000.

The previous prime is 2668847026997. The next prime is 2668847027051. The reversal of 2668847027000 is 7207488662.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 2668847027000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6163618784 + ... + 6163619216.

It is an arithmetic number, because the mean of its divisors is an integer number (10805558400).

Almost surely, 2^{2668847027000} is an apocalyptic number.

2668847027000 is a gapful number since it is divisible by the number (20) 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 2668847027000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149334425600).

2668847027000 is an abundant number, since it is smaller than the sum of its proper divisors (5629821824200).

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

2668847027000 is a wasteful number, since it uses less digits than its factorization.

2668847027000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 50.

The spelling of 2668847027000 in words is "two trillion, six hundred sixty-eight billion, eight hundred forty-seven million, twenty-seven thousand".