1068269368320 has 2376 divisors, whose sum is σ = 4960388328480. Its totient is φ = 218215710720.

The previous prime is 1068269368307. The next prime is 1068269368349. The reversal of 1068269368320 is 238639628601.

1068269368320 is a `hidden beast` number, since 10 + 6 + 8 + 269 + 368 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

It is a super-2 number, since 2×1068269368320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 18106260451 + ... + 18106260509.

Almost surely, 2^{1068269368320} is an apocalyptic number.

1068269368320 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 1068269368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480194164240).

1068269368320 is an abundant number, since it is smaller than the sum of its proper divisors (3892118960160).

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

1068269368320 is an frugal number, since it uses more digits than its factorization.

1068269368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1068269368320 in words is "one trillion, sixty-eight billion, two hundred sixty-nine million, three hundred sixty-eight thousand, three hundred twenty".