842085478080 has 2688 divisors, whose sum is σ = 4109620838400. Its totient is φ = 159899443200.

The previous prime is 842085478021. The next prime is 842085478103. The reversal of 842085478080 is 80874580248.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2742949287 + ... + 2742949593.

It is an arithmetic number, because the mean of its divisors is an integer number (1528876800).

Almost surely, 2^842085478080 is an apocalyptic number.

842085478080 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 842085478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054810419200).

842085478080 is an abundant number, since it is smaller than the sum of its proper divisors (3267535360320).

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

842085478080 is a wasteful number, since it uses less digits than its factorization.

842085478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 842085478080 in words is "eight hundred forty-two billion, eighty-five million, four hundred seventy-eight thousand, eighty".