1968768006 has 16 divisors (see below), whose sum is σ = 3987379200. Its totient is φ = 647948808.

The previous prime is 1968767993. The next prime is 1968768019. The reversal of 1968768006 is 6008678691.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1968767993) and next prime (1968768019).

It is a super-2 number, since 2×1968768006² = 7752094922898432072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1968768006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2076286 + ... + 2077233.

It is an arithmetic number, because the mean of its divisors is an integer number (249211200).

Almost surely, 2^1968768006 is an apocalyptic number.

1968768006 is an abundant number, since it is smaller than the sum of its proper divisors (2018611194).

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

1968768006 is a wasteful number, since it uses less digits than its factorization.

1968768006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4153603.

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 1968768006 is about 44370.8012774167. The cubic root of 1968768006 is about 1253.3283046583.

The spelling of 1968768006 in words is "one billion, nine hundred sixty-eight million, seven hundred sixty-eight thousand, six".