19632678912 has 960 divisors, whose sum is σ = 77059382400. Its totient is φ = 4830658560.

The previous prime is 19632678893. The next prime is 19632679019. The reversal of 19632678912 is 21987623691.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 370427878 + ... + 370427930.

It is an arithmetic number, because the mean of its divisors is an integer number (80270190).

Almost surely, 2^19632678912 is an apocalyptic number.

19632678912 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 19632678912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38529691200).

19632678912 is an abundant number, since it is smaller than the sum of its proper divisors (57426703488).

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

19632678912 is a wasteful number, since it uses less digits than its factorization.

19632678912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 105 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 19632678912 in words is "nineteen billion, six hundred thirty-two million, six hundred seventy-eight thousand, nine hundred twelve".