842265499680 has 576 divisors, whose sum is σ = 3319157761920. Its totient is φ = 192555417600.

The previous prime is 842265499597. The next prime is 842265499697. The reversal of 842265499680 is 86994562248.

842265499680 is a `hidden beast` number, since 8 + 4 + 2 + 2 + 6 + 549 + 9 + 6 + 80 = 666.

It is a super-2 number, since 2×842265499680² (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 19731160 + ... + 19773800.

It is an arithmetic number, because the mean of its divisors is an integer number (5762426670).

Almost surely, 2^842265499680 is an apocalyptic number.

842265499680 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 842265499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659578880960).

842265499680 is an abundant number, since it is smaller than the sum of its proper divisors (2476892262240).

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

842265499680 is a wasteful number, since it uses less digits than its factorization.

842265499680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42745 (or 42734 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 842265499680 in words is "eight hundred forty-two billion, two hundred sixty-five million, four hundred ninety-nine thousand, six hundred eighty".