2768645516800 has 240 divisors, whose sum is σ = 7030969989120. Its totient is φ = 1080077967360.

The previous prime is 2768645516771. The next prime is 2768645516801. The reversal of 2768645516800 is 86155468672.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768645516801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95895967 + ... + 95924833.

It is an arithmetic number, because the mean of its divisors is an integer number (29295708288).

Almost surely, 2^{2768645516800} is an apocalyptic number.

2768645516800 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 2768645516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515484994560).

2768645516800 is an abundant number, since it is smaller than the sum of its proper divisors (4262324472320).

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

2768645516800 is a wasteful number, since it uses less digits than its factorization.

2768645516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29081 (or 29060 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 2768645516800 in words is "two trillion, seven hundred sixty-eight billion, six hundred forty-five million, five hundred sixteen thousand, eight hundred".