1268717765328 has 600 divisors, whose sum is σ = 4244857740288. Its totient is φ = 364382613504.

The previous prime is 1268717765323. The next prime is 1268717765353. The reversal of 1268717765328 is 8235677178621.

It is a happy number.

1268717765328 is a `hidden beast` number, since 1 + 2 + 6 + 87 + 17 + 7 + 6 + 532 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268717765323) 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 119 ways as a sum of consecutive naturals, for example, 472871475 + ... + 472874157.

Almost surely, 2^{1268717765328} is an apocalyptic number.

1268717765328 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 1268717765328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122428870144).

1268717765328 is an abundant number, since it is smaller than the sum of its proper divisors (2976139974960).

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

1268717765328 is a wasteful number, since it uses less digits than its factorization.

1268717765328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2845 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The spelling of 1268717765328 in words is "one trillion, two hundred sixty-eight billion, seven hundred seventeen million, seven hundred sixty-five thousand, three hundred twenty-eight".