2668324777664 has 224 divisors, whose sum is σ = 6808894525440. Its totient is φ = 1008416268288.

The previous prime is 2668324777639. The next prime is 2668324777673. The reversal of 2668324777664 is 4667774238662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 2668324777594 and 2668324777603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108354857 + ... + 108379479.

It is an arithmetic number, because the mean of its divisors is an integer number (30396850560).

Almost surely, 2^{2668324777664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668324777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404447262720).

2668324777664 is an abundant number, since it is smaller than the sum of its proper divisors (4140569747776).

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

2668324777664 is a wasteful number, since it uses less digits than its factorization.

2668324777664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25487 (or 25477 counting only the distinct ones).

The product of its digits is 682795008, while the sum is 68.

The spelling of 2668324777664 in words is "two trillion, six hundred sixty-eight billion, three hundred twenty-four million, seven hundred seventy-seven thousand, six hundred sixty-four".