6072442320240 has 160 divisors (see below), whose sum is σ = 20924791114560. Its totient is φ = 1618652077056.

The previous prime is 6072442320173. The next prime is 6072442320311. The reversal of 6072442320240 is 420232442706.

6072442320240 is a `hidden beast` number, since 6 + 0 + 7 + 2 + 442 + 3 + 202 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6072442320195 and 6072442320204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4687122 + ... + 5840718.

It is an arithmetic number, because the mean of its divisors is an integer number (130779944466).

Almost surely, 2^{6072442320240} is an apocalyptic number.

6072442320240 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 6072442320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10462395557280).

6072442320240 is an abundant number, since it is smaller than the sum of its proper divisors (14852348794320).

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

6072442320240 is a wasteful number, since it uses less digits than its factorization.

6072442320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156056 (or 1156044 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

Adding to 6072442320240 its reverse (420232442706), we get a palindrome (6492674762946).

The spelling of 6072442320240 in words is "six trillion, seventy-two billion, four hundred forty-two million, three hundred twenty thousand, two hundred forty".