2668634121600 has 384 divisors, whose sum is σ = 9950749495200. Its totient is φ = 698207477760.

The previous prime is 2668634121557. The next prime is 2668634121611. The reversal of 2668634121600 is 61214368662.

2668634121600 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 6 + 34 + 1 + 2 + 1 + 600 = 666.

2668634121600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4287814 + ... + 4870586.

Almost surely, 2^{2668634121600} is an apocalyptic number.

2668634121600 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 2668634121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975374747600).

2668634121600 is an abundant number, since it is smaller than the sum of its proper divisors (7282115373600).

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

2668634121600 is a wasteful number, since it uses less digits than its factorization.

2668634121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582859 (or 582836 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2668634121600 in words is "two trillion, six hundred sixty-eight billion, six hundred thirty-four million, one hundred twenty-one thousand, six hundred".