2768687448912 has 1440 divisors, whose sum is σ = 10847545712640. Its totient is φ = 649264896000.

The previous prime is 2768687448829. The next prime is 2768687448941. The reversal of 2768687448912 is 2198447868672.

2768687448912 is a `hidden beast` number, since 2 + 7 + 6 + 8 + 68 + 74 + 489 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3245823078 + ... + 3245823930.

It is an arithmetic number, because the mean of its divisors is an integer number (7533017856).

Almost surely, 2^{2768687448912} is an apocalyptic number.

2768687448912 is a gapful number since it is divisible by the number (22) 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 2768687448912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423772856320).

2768687448912 is an abundant number, since it is smaller than the sum of its proper divisors (8078858263728).

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

2768687448912 is a wasteful number, since it uses less digits than its factorization.

2768687448912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 997 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 72.

The spelling of 2768687448912 in words is "two trillion, seven hundred sixty-eight billion, six hundred eighty-seven million, four hundred forty-eight thousand, nine hundred twelve".