6940072104768 has 420 divisors, whose sum is σ = 22650944169700. Its totient is φ = 2099505070080.

The previous prime is 6940072104737. The next prime is 6940072104857. The reversal of 6940072104768 is 8674012700496.

6940072104768 is a `hidden beast` number, since 6 + 9 + 400 + 72 + 104 + 7 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2387618316864 + 4552453787904 = 1545192^2 + 2133648^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 384503808 + ... + 384521856.

Almost surely, 2^{6940072104768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6940072104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11325472084850).

6940072104768 is an abundant number, since it is smaller than the sum of its proper divisors (15710872064932).

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

6940072104768 is a wasteful number, since it uses less digits than its factorization.

6940072104768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18708 (or 18678 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 6940072104768 in words is "six trillion, nine hundred forty billion, seventy-two million, one hundred four thousand, seven hundred sixty-eight".