7797334166496 has 432 divisors, whose sum is σ = 26256258048384. Its totient is φ = 2194467593472.

The previous prime is 7797334166477. The next prime is 7797334166519. The reversal of 7797334166496 is 6946614337977.

7797334166496 is a `hidden beast` number, since 7 + 7 + 9 + 7 + 33 + 41 + 66 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 324295851 + ... + 324319893.

It is an arithmetic number, because the mean of its divisors is an integer number (60778375112).

Almost surely, 2^{7797334166496} 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 7797334166496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13128129024192).

7797334166496 is an abundant number, since it is smaller than the sum of its proper divisors (18458923881888).

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

7797334166496 is an equidigital number, since it uses as much as digits as its factorization.

7797334166496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24161 (or 24122 counting only the distinct ones).

The product of its digits is 864162432, while the sum is 72.

The spelling of 7797334166496 in words is "seven trillion, seven hundred ninety-seven billion, three hundred thirty-four million, one hundred sixty-six thousand, four hundred ninety-six".