2768783523840 has 840 divisors, whose sum is σ = 10118551308768. Its totient is φ = 726828318720.

The previous prime is 2768783523829. The next prime is 2768783523859. The reversal of 2768783523840 is 483253878672.

2768783523840 is a `hidden beast` number, since 2 + 7 + 68 + 7 + 8 + 3 + 523 + 8 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 4240096954 + ... + 4240097606.

Almost surely, 2^{2768783523840} is an apocalyptic number.

2768783523840 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 2768783523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059275654384).

2768783523840 is an abundant number, since it is smaller than the sum of its proper divisors (7349767784928).

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

2768783523840 is an frugal number, since it uses more digits than its factorization.

2768783523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 2768783523840 in words is "two trillion, seven hundred sixty-eight billion, seven hundred eighty-three million, five hundred twenty-three thousand, eight hundred forty".