1263786576768 has 384 divisors, whose sum is σ = 3866539622400. Its totient is φ = 395559936000.

The previous prime is 1263786576743. The next prime is 1263786576769. The reversal of 1263786576768 is 8676756873621.

1263786576768 is a `hidden beast` number, since 12 + 6 + 37 + 8 + 6 + 576 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 1263786576696 and 1263786576705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1263786576769) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 279658413 + ... + 279662931.

It is an arithmetic number, because the mean of its divisors is an integer number (10069113600).

Almost surely, 2^{1263786576768} is an apocalyptic number.

1263786576768 is a gapful number since it is divisible by the number (18) 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 1263786576768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933269811200).

1263786576768 is an abundant number, since it is smaller than the sum of its proper divisors (2602753045632).

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

1263786576768 is a wasteful number, since it uses less digits than its factorization.

1263786576768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802 (or 4787 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

The spelling of 1263786576768 in words is "one trillion, two hundred sixty-three billion, seven hundred eighty-six million, five hundred seventy-six thousand, seven hundred sixty-eight".