19072808676768 has 384 divisors, whose sum is σ = 64055560181760. Its totient is φ = 4825523589120.

The previous prime is 19072808676763. The next prime is 19072808676773. The reversal of 19072808676768 is 86767680827091.

It is an interprime number because it is at equal distance from previous prime (19072808676763) and next prime (19072808676773).

It is a self number, because there is not a number n which added to its sum of digits gives 19072808676768.

It is not an unprimeable number, because it can be changed into a prime (19072808676763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54281746 + ... + 54631982.

It is an arithmetic number, because the mean of its divisors is an integer number (166811354640).

Almost surely, 2^{19072808676768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19072808676768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32027780090880).

19072808676768 is an abundant number, since it is smaller than the sum of its proper divisors (44982751504992).

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

19072808676768 is a wasteful number, since it uses less digits than its factorization.

19072808676768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350460 (or 350452 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 75.

The spelling of 19072808676768 in words is "nineteen trillion, seventy-two billion, eight hundred eight million, six hundred seventy-six thousand, seven hundred sixty-eight".