19493671680 has 576 divisors, whose sum is σ = 83238220800. Its totient is φ = 4220190720.

The previous prime is 19493671679. The next prime is 19493671711. The reversal of 19493671680 is 8617639491.

19493671680 is a `hidden beast` number, since 1 + 9 + 493 + 6 + 71 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 4594360 + ... + 4598600.

It is an arithmetic number, because the mean of its divisors is an integer number (144510800).

Almost surely, 2^19493671680 is an apocalyptic number.

19493671680 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 19493671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41619110400).

19493671680 is an abundant number, since it is smaller than the sum of its proper divisors (63744549120).

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

19493671680 is a wasteful number, since it uses less digits than its factorization.

19493671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 19493671680 in words is "nineteen billion, four hundred ninety-three million, six hundred seventy-one thousand, six hundred eighty".