42822082068480 has 1536 divisors, whose sum is σ = 180053287464960. Its totient is φ = 9272033280000.

The previous prime is 42822082068443. The next prime is 42822082068509. The reversal of 42822082068480 is 8486028022824.

42822082068480 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 20 + 82 + 0 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6536721205 + ... + 6536727755.

It is an arithmetic number, because the mean of its divisors is an integer number (117222192360).

Almost surely, 2^{42822082068480} is an apocalyptic number.

42822082068480 is a gapful number since it is divisible by the number (40) 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 42822082068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90026643732480).

42822082068480 is an abundant number, since it is smaller than the sum of its proper divisors (137231205396480).

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

42822082068480 is a wasteful number, since it uses less digits than its factorization.

42822082068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6647 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 42822082068480 in words is "forty-two trillion, eight hundred twenty-two billion, eighty-two million, sixty-eight thousand, four hundred eighty".