19720608768 has 528 divisors, whose sum is σ = 68669153280. Its totient is φ = 5332303872.

The previous prime is 19720608767. The next prime is 19720608769. The reversal of 19720608768 is 86780602791.

19720608768 is a `hidden beast` number, since 1 + 9 + 7 + 20 + 608 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (19720608767) and next prime (19720608769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19720608767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155280321 + ... + 155280447.

Almost surely, 2^19720608768 is an apocalyptic number.

19720608768 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 19720608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34334576640).

19720608768 is an abundant number, since it is smaller than the sum of its proper divisors (48948544512).

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

19720608768 is a wasteful number, since it uses less digits than its factorization.

19720608768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 19720608768 in words is "nineteen billion, seven hundred twenty million, six hundred eight thousand, seven hundred sixty-eight".