2768283738720 has 192 divisors, whose sum is σ = 9713161241280. Its totient is φ = 736367616000.

The previous prime is 2768283738713. The next prime is 2768283738751. The reversal of 2768283738720 is 278373828672.

2768283738720 is a `hidden beast` number, since 276 + 8 + 283 + 7 + 3 + 87 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933310 + ... + 2531330.

It is an arithmetic number, because the mean of its divisors is an integer number (50589381465).

Almost surely, 2^{2768283738720} is an apocalyptic number.

2768283738720 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 2768283738720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856580620640).

2768283738720 is an abundant number, since it is smaller than the sum of its proper divisors (6944877502560).

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

2768283738720 is a wasteful number, since it uses less digits than its factorization.

2768283738720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598446 (or 1598432 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 2768283738720 in words is "two trillion, seven hundred sixty-eight billion, two hundred eighty-three million, seven hundred thirty-eight thousand, seven hundred twenty".