842493083520 has 256 divisors, whose sum is σ = 2945777103360. Its totient is φ = 203111424000.

The previous prime is 842493083479. The next prime is 842493083561. The reversal of 842493083520 is 25380394248.

It is an interprime number because it is at equal distance from previous prime (842493083479) and next prime (842493083561).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 842493083520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3712525 + ... + 3932915.

It is an arithmetic number, because the mean of its divisors is an integer number (11506941810).

Almost surely, 2^842493083520 is an apocalyptic number.

842493083520 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 842493083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472888551680).

842493083520 is an abundant number, since it is smaller than the sum of its proper divisors (2103284019840).

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

842493083520 is a wasteful number, since it uses less digits than its factorization.

842493083520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220605 (or 220593 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 842493083520 in words is "eight hundred forty-two billion, four hundred ninety-three million, eighty-three thousand, five hundred twenty".