19728164736 has 256 divisors, whose sum is σ = 67461004800. Its totient is φ = 5558906880.

The previous prime is 19728164671. The next prime is 19728164737. The reversal of 19728164736 is 63746182791.

19728164736 is a `hidden beast` number, since 1 + 97 + 2 + 81 + 6 + 473 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19728164737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1760431 + ... + 1771601.

It is an arithmetic number, because the mean of its divisors is an integer number (263519550).

Almost surely, 2^19728164736 is an apocalyptic number.

19728164736 is a gapful number since it is divisible by the number (16) 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 19728164736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33730502400).

19728164736 is an abundant number, since it is smaller than the sum of its proper divisors (47732840064).

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

19728164736 is a wasteful number, since it uses less digits than its factorization.

19728164736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11274 (or 11256 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 19728164736 in words is "nineteen billion, seven hundred twenty-eight million, one hundred sixty-four thousand, seven hundred thirty-six".