19719272664 has 576 divisors, whose sum is σ = 72604274400. Its totient is φ = 4914556416.

The previous prime is 19719272653. The next prime is 19719272693. The reversal of 19719272664 is 46627291791.

19719272664 is a `hidden beast` number, since 197 + 192 + 7 + 266 + 4 = 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.

Its product of digits (2286144) is a multiple of the sum of its prime divisors (441).

It is a self number, because there is not a number n which added to its sum of digits gives 19719272664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49670514 + ... + 49670910.

Almost surely, 2^19719272664 is an apocalyptic number.

19719272664 is a gapful number since it is divisible by the number (14) 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 19719272664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36302137200).

19719272664 is an abundant number, since it is smaller than the sum of its proper divisors (52885001736).

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

19719272664 is a wasteful number, since it uses less digits than its factorization.

19719272664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 441 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 19719272664 in words is "nineteen billion, seven hundred nineteen million, two hundred seventy-two thousand, six hundred sixty-four".