19737468768 has 192 divisors, whose sum is σ = 55860295680. Its totient is φ = 6087155712.

The previous prime is 19737468749. The next prime is 19737468769. The reversal of 19737468768 is 86786473791.

It is a junction number, because it is equal to n+sod(n) for n = 19737468699 and 19737468708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19737468769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9234996 + ... + 9237132.

It is an arithmetic number, because the mean of its divisors is an integer number (290939040).

Almost surely, 2^19737468768 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 19737468768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27930147840).

19737468768 is an abundant number, since it is smaller than the sum of its proper divisors (36122826912).

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

19737468768 is a wasteful number, since it uses less digits than its factorization.

19737468768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2301 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 66.

The spelling of 19737468768 in words is "nineteen billion, seven hundred thirty-seven million, four hundred sixty-eight thousand, seven hundred sixty-eight".