19827452736 has 672 divisors, whose sum is σ = 75503267840. Its totient is φ = 4828336128.

The previous prime is 19827452681. The next prime is 19827452741. The reversal of 19827452736 is 63725472891.

It is a happy number.

19827452736 is a `hidden beast` number, since 1 + 9 + 82 + 7 + 4 + 527 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42823641 + ... + 42824103.

Almost surely, 2^19827452736 is an apocalyptic number.

19827452736 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 19827452736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37751633920).

19827452736 is an abundant number, since it is smaller than the sum of its proper divisors (55675815104).

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

19827452736 is a wasteful number, since it uses less digits than its factorization.

19827452736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 550 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 19827452736 in words is "nineteen billion, eight hundred twenty-seven million, four hundred fifty-two thousand, seven hundred thirty-six".