19789340688 has 360 divisors, whose sum is σ = 65653719768. Its totient is φ = 5724131328.

The previous prime is 19789340687. The next prime is 19789340689. The reversal of 19789340688 is 88604398791.

It is an interprime number because it is at equal distance from previous prime (19789340687) and next prime (19789340689).

It can be written as a sum of positive squares in 4 ways, for example, as 107495424 + 19681845264 = 10368^2 + 140292^2 .

It is not an unprimeable number, because it can be changed into a prime (19789340687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23199270 + ... + 23200122.

Almost surely, 2^19789340688 is an apocalyptic number.

19789340688 is a gapful number since it is divisible by the number (18) 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 19789340688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32826859884).

19789340688 is an abundant number, since it is smaller than the sum of its proper divisors (45864379080).

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

19789340688 is an equidigital number, since it uses as much as digits as its factorization.

19789340688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 19789340688 in words is "nineteen billion, seven hundred eighty-nine million, three hundred forty thousand, six hundred eighty-eight".