819381676608 has 196 divisors, whose sum is σ = 2659447744848. Its totient is φ = 248297322240.

The previous prime is 819381676591. The next prime is 819381676613. The reversal of 819381676608 is 806676183918.

819381676608 is a `hidden beast` number, since 8 + 1 + 9 + 3 + 8 + 16 + 7 + 6 + 608 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 285066 + ... + 1311497.

Almost surely, 2^819381676608 is an apocalyptic number.

819381676608 is a gapful number since it is divisible by the number (88) 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 819381676608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329723872424).

819381676608 is an abundant number, since it is smaller than the sum of its proper divisors (1840066068240).

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

819381676608 is a wasteful number, since it uses less digits than its factorization.

819381676608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596604 (or 1596579 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 819381676608 in words is "eight hundred nineteen billion, three hundred eighty-one million, six hundred seventy-six thousand, six hundred eight".