19869643321632 has 384 divisors, whose sum is σ = 62615248254720. Its totient is φ = 6093766287360.

The previous prime is 19869643321621. The next prime is 19869643321669. The reversal of 19869643321632 is 23612334696891.

19869643321632 is a `hidden beast` number, since 1 + 9 + 86 + 9 + 64 + 332 + 163 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19869643321632.

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, 7088704743 + ... + 7088707545.

It is an arithmetic number, because the mean of its divisors is an integer number (163060542330).

Almost surely, 2^{19869643321632} is an apocalyptic number.

19869643321632 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 19869643321632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31307624127360).

19869643321632 is an abundant number, since it is smaller than the sum of its proper divisors (42745604933088).

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

19869643321632 is a wasteful number, since it uses less digits than its factorization.

19869643321632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4659 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 19869643321632 in words is "nineteen trillion, eight hundred sixty-nine billion, six hundred forty-three million, three hundred twenty-one thousand, six hundred thirty-two".