819073918080 has 1536 divisors, whose sum is σ = 3341306142720. Its totient is φ = 190008115200.

The previous prime is 819073918051. The next prime is 819073918099. The reversal of 819073918080 is 80819370918.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4904634157 + ... + 4904634323.

It is an arithmetic number, because the mean of its divisors is an integer number (2175329520).

Almost surely, 2^819073918080 is an apocalyptic number.

819073918080 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 819073918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670653071360).

819073918080 is an abundant number, since it is smaller than the sum of its proper divisors (2522232224640).

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

819073918080 is a wasteful number, since it uses less digits than its factorization.

819073918080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 819073918080 in words is "eight hundred nineteen billion, seventy-three million, nine hundred eighteen thousand, eighty".