1968729966 has 96 divisors (see below), whose sum is σ = 5037709248. Its totient is φ = 543905280.

The previous prime is 1968729911. The next prime is 1968729979. The reversal of 1968729966 is 6699278691.

It is a happy number.

It is a super-2 number, since 2×1968729966² = 7751795358052722312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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, 805306 + ... + 807746.

It is an arithmetic number, because the mean of its divisors is an integer number (52476138).

Almost surely, 2^1968729966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968729966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518854624).

1968729966 is an abundant number, since it is smaller than the sum of its proper divisors (3068979282).

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

1968729966 is a wasteful number, since it uses less digits than its factorization.

1968729966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2663 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The square root of 1968729966 is about 44370.3726150683. The cubic root of 1968729966 is about 1253.3202324501.

The spelling of 1968729966 in words is "one billion, nine hundred sixty-eight million, seven hundred twenty-nine thousand, nine hundred sixty-six".