1968665567232 has 896 divisors, whose sum is σ = 6977125983744. Its totient is φ = 478955962368.

The previous prime is 1968665567207. The next prime is 1968665567251. The reversal of 1968665567232 is 2327655668691.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-3 number, since 3×1968665567232³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2015010328 + ... + 2015011304.

It is an arithmetic number, because the mean of its divisors is an integer number (7786970964).

Almost surely, 2^{1968665567232} is an apocalyptic number.

1968665567232 is a gapful number since it is divisible by the number (12) 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 1968665567232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488562991872).

1968665567232 is an abundant number, since it is smaller than the sum of its proper divisors (5008460416512).

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

1968665567232 is a wasteful number, since it uses less digits than its factorization.

1968665567232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1072 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 66.

The spelling of 1968665567232 in words is "one trillion, nine hundred sixty-eight billion, six hundred sixty-five million, five hundred sixty-seven thousand, two hundred thirty-two".