7165968080832 has 448 divisors, whose sum is σ = 23854535577600. Its totient is φ = 2089815552000.

The previous prime is 7165968080819. The next prime is 7165968080833. The reversal of 7165968080832 is 2380808695617.

7165968080832 is a `hidden beast` number, since 7 + 1 + 6 + 596 + 8 + 0 + 8 + 0 + 8 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7165968080832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7165968080833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106620294 + ... + 106687482.

It is an arithmetic number, because the mean of its divisors is an integer number (53246731200).

Almost surely, 2^{7165968080832} is an apocalyptic number.

7165968080832 is a gapful number since it is divisible by the number (72) 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 7165968080832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11927267788800).

7165968080832 is an abundant number, since it is smaller than the sum of its proper divisors (16688567496768).

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

7165968080832 is a wasteful number, since it uses less digits than its factorization.

7165968080832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67433 (or 67417 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 7165968080832 in words is "seven trillion, one hundred sixty-five billion, nine hundred sixty-eight million, eighty thousand, eight hundred thirty-two".