2168456774400 has 648 divisors, whose sum is σ = 8893636708320. Its totient is φ = 493780008960.

The previous prime is 2168456774387. The next prime is 2168456774417. The reversal of 2168456774400 is 44776548612.

2168456774400 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 4 + 567 + 74 + 4 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 108450804 + ... + 108470796.

Almost surely, 2^{2168456774400} is an apocalyptic number.

2168456774400 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 2168456774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446818354160).

2168456774400 is an abundant number, since it is smaller than the sum of its proper divisors (6725179933920).

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

2168456774400 is a wasteful number, since it uses less digits than its factorization.

2168456774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20301 (or 20279 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 2168456774400 in words is "two trillion, one hundred sixty-eight billion, four hundred fifty-six million, seven hundred seventy-four thousand, four hundred".