19740680960 has 864 divisors, whose sum is σ = 67645476864. Its totient is φ = 5419008000.

The previous prime is 19740680909. The next prime is 19740680969. The reversal of 19740680960 is 6908604791.

It is a junction number, because it is equal to n+sod(n) for n = 19740680899 and 19740680908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19740680969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278037725 + ... + 278037795.

It is an arithmetic number, because the mean of its divisors is an integer number (78293376).

Almost surely, 2^19740680960 is an apocalyptic number.

19740680960 is a gapful number since it is divisible by the number (10) 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 19740680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33822738432).

19740680960 is an abundant number, since it is smaller than the sum of its proper divisors (47904795904).

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

19740680960 is a wasteful number, since it uses less digits than its factorization.

19740680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The spelling of 19740680960 in words is "nineteen billion, seven hundred forty million, six hundred eighty thousand, nine hundred sixty".