3068764302240 has 2304 divisors, whose sum is σ = 14287940739072. Its totient is φ = 604231778304.

The previous prime is 3068764302229. The next prime is 3068764302259. The reversal of 3068764302240 is 422034678603.

3068764302240 is a `hidden beast` number, since 30 + 6 + 8 + 76 + 4 + 302 + 240 = 666.

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 383 ways as a sum of consecutive naturals, for example, 3499160682 + ... + 3499161558.

It is an arithmetic number, because the mean of its divisors is an integer number (6201363168).

Almost surely, 2^{3068764302240} is an apocalyptic number.

3068764302240 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 3068764302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7143970369536).

3068764302240 is an abundant number, since it is smaller than the sum of its proper divisors (11219176436832).

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

3068764302240 is a wasteful number, since it uses less digits than its factorization.

3068764302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 3068764302240 in words is "three trillion, sixty-eight billion, seven hundred sixty-four million, three hundred two thousand, two hundred forty".