819675384000 has 896 divisors, whose sum is σ = 3014198313984. Its totient is φ = 194621440000.

The previous prime is 819675383993. The next prime is 819675384001. The reversal of 819675384000 is 483576918.

819675384000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (819675384001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4738007914 + ... + 4738008086.

Almost surely, 2^819675384000 is an apocalyptic number.

819675384000 is a gapful number since it is divisible by the number (80) 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 819675384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507099156992).

819675384000 is an abundant number, since it is smaller than the sum of its proper divisors (2194522929984).

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

819675384000 is a wasteful number, since it uses less digits than its factorization.

819675384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 819675384000 in words is "eight hundred nineteen billion, six hundred seventy-five million, three hundred eighty-four thousand".