19642136472 has 320 divisors, whose sum is σ = 65165760000. Its totient is φ = 5524085952.

The previous prime is 19642136443. The next prime is 19642136473. The reversal of 19642136472 is 27463124691.

19642136472 is a `hidden beast` number, since 1 + 9 + 6 + 42 + 136 + 472 = 666.

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 (19642136473) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14891029 + ... + 14892347.

It is an arithmetic number, because the mean of its divisors is an integer number (203643000).

Almost surely, 2^19642136472 is an apocalyptic number.

19642136472 is a gapful number since it is divisible by the number (12) 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 19642136472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32582880000).

19642136472 is an abundant number, since it is smaller than the sum of its proper divisors (45523623528).

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

19642136472 is a wasteful number, since it uses less digits than its factorization.

19642136472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1398 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 19642136472 in words is "nineteen billion, six hundred forty-two million, one hundred thirty-six thousand, four hundred seventy-two".