3068427342240 has 480 divisors, whose sum is σ = 11689201749456. Its totient is φ = 753542922240.

The previous prime is 3068427342203. The next prime is 3068427342241. The reversal of 3068427342240 is 422437248603.

3068427342240 is a `hidden beast` number, since 3 + 0 + 68 + 4 + 2 + 7 + 342 + 240 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1155306821904 + 1913120520336 = 1074852^2 + 1383156^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (3068427342241) by changing a digit.

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, 72930810 + ... + 72972870.

Almost surely, 2^{3068427342240} is an apocalyptic number.

3068427342240 is a gapful number since it is divisible by the number (30) 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 3068427342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5844600874728).

3068427342240 is an abundant number, since it is smaller than the sum of its proper divisors (8620774407216).

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

3068427342240 is a wasteful number, since it uses less digits than its factorization.

3068427342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42534 (or 42517 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 3068427342240 in words is "three trillion, sixty-eight billion, four hundred twenty-seven million, three hundred forty-two thousand, two hundred forty".