19764845760 has 448 divisors, whose sum is σ = 75211960320. Its totient is φ = 4340920320.

The previous prime is 19764845753. The next prime is 19764845819. The reversal of 19764845760 is 6754846791.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 19764845760.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4612579 + ... + 4616861.

It is an arithmetic number, because the mean of its divisors is an integer number (167883840).

Almost surely, 2^19764845760 is an apocalyptic number.

19764845760 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 19764845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37605980160).

19764845760 is an abundant number, since it is smaller than the sum of its proper divisors (55447114560).

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

19764845760 is a wasteful number, since it uses less digits than its factorization.

19764845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356 (or 4346 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 19764845760 in words is "nineteen billion, seven hundred sixty-four million, eight hundred forty-five thousand, seven hundred sixty".