1268668079360 has 432 divisors, whose sum is σ = 3561252500736. Its totient is φ = 431185920000.

The previous prime is 1268668079359. The next prime is 1268668079381. The reversal of 1268668079360 is 639708668621.

It is a junction number, because it is equal to n+sod(n) for n = 1268668079293 and 1268668079302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397575365 + ... + 397578555.

It is an arithmetic number, because the mean of its divisors is an integer number (8243640048).

Almost surely, 2^{1268668079360} is an apocalyptic number.

1268668079360 is a gapful number since it is divisible by the number (10) 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 1268668079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780626250368).

1268668079360 is an abundant number, since it is smaller than the sum of its proper divisors (2292584421376).

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

1268668079360 is a wasteful number, since it uses less digits than its factorization.

1268668079360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 62.

The spelling of 1268668079360 in words is "one trillion, two hundred sixty-eight billion, six hundred sixty-eight million, seventy-nine thousand, three hundred sixty".