842489786880 has 1920 divisors, whose sum is σ = 3663013052160. Its totient is φ = 185107120128.

The previous prime is 842489786821. The next prime is 842489786899. The reversal of 842489786880 is 88687984248.

842489786880 is a `hidden beast` number, since 8 + 4 + 2 + 489 + 7 + 8 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 842489786799 and 842489786808.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10150479319 + ... + 10150479401.

It is an arithmetic number, because the mean of its divisors is an integer number (1907819298).

Almost surely, 2^842489786880 is an apocalyptic number.

842489786880 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 842489786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831506526080).

842489786880 is an abundant number, since it is smaller than the sum of its proper divisors (2820523265280).

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

842489786880 is an frugal number, since it uses more digits than its factorization.

842489786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 842489786880 in words is "eight hundred forty-two billion, four hundred eighty-nine million, seven hundred eighty-six thousand, eight hundred eighty".