7845079012680 has 1152 divisors, whose sum is σ = 31436211542400. Its totient is φ = 1552090595328.

The previous prime is 7845079012679. The next prime is 7845079012681. The reversal of 7845079012680 is 862109705487.

It is an interprime number because it is at equal distance from previous prime (7845079012679) and next prime (7845079012681).

It is a self number, because there is not a number n which added to its sum of digits gives 7845079012680.

It is not an unprimeable number, because it can be changed into a prime (7845079012681) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 8372549172 + ... + 8372550108.

It is an arithmetic number, because the mean of its divisors is an integer number (27288378075).

Almost surely, 2^{7845079012680} is an apocalyptic number.

7845079012680 is a gapful number since it is divisible by the number (70) 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 7845079012680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15718105771200).

7845079012680 is an abundant number, since it is smaller than the sum of its proper divisors (23591132529720).

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

7845079012680 is a wasteful number, since it uses less digits than its factorization.

7845079012680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 7845079012680 in words is "seven trillion, eight hundred forty-five billion, seventy-nine million, twelve thousand, six hundred eighty".