6082422762240 has 720 divisors, whose sum is σ = 23766372241920. Its totient is φ = 1473048944640.

The previous prime is 6082422762217. The next prime is 6082422762277. The reversal of 6082422762240 is 422672242806.

6082422762240 is a `hidden beast` number, since 60 + 82 + 4 + 2 + 276 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 1513414951 + ... + 1513418969.

It is an arithmetic number, because the mean of its divisors is an integer number (33008850336).

Almost surely, 2^{6082422762240} is an apocalyptic number.

6082422762240 is a gapful number since it is divisible by the number (60) 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 6082422762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11883186120960).

6082422762240 is an abundant number, since it is smaller than the sum of its proper divisors (17683949479680).

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

6082422762240 is a wasteful number, since it uses less digits than its factorization.

6082422762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390 (or 5367 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 6082422762240 in words is "six trillion, eighty-two billion, four hundred twenty-two million, seven hundred sixty-two thousand, two hundred forty".