2688336561600 has 672 divisors, whose sum is σ = 10395634011840. Its totient is φ = 673472839680.

The previous prime is 2688336561577. The next prime is 2688336561619. The reversal of 2688336561600 is 61656338862.

It is a happy number.

2688336561600 is a `hidden beast` number, since 26 + 8 + 8 + 3 + 3 + 6 + 5 + 6 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 435496114 + ... + 435502286.

It is an arithmetic number, because the mean of its divisors is an integer number (15469693470).

Almost surely, 2^{2688336561600} is an apocalyptic number.

2688336561600 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 2688336561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197817005920).

2688336561600 is an abundant number, since it is smaller than the sum of its proper divisors (7707297450240).

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

2688336561600 is a wasteful number, since it uses less digits than its factorization.

2688336561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6814 (or 6793 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2688336561600 in words is "two trillion, six hundred eighty-eight billion, three hundred thirty-six million, five hundred sixty-one thousand, six hundred".