7120656824448 has 768 divisors, whose sum is σ = 21729215692800. Its totient is φ = 2057296969728.

The previous prime is 7120656824443. The next prime is 7120656824473. The reversal of 7120656824448 is 8444286560217.

It is a happy number.

It is a super-2 number, since 2×7120656824448² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7120656824443) 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 95 ways as a sum of consecutive naturals, for example, 11730900561 + ... + 11730901167.

It is an arithmetic number, because the mean of its divisors is an integer number (28293249600).

Almost surely, 2^{7120656824448} 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 7120656824448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10864607846400).

7120656824448 is an abundant number, since it is smaller than the sum of its proper divisors (14608558868352).

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

7120656824448 is a wasteful number, since it uses less digits than its factorization.

7120656824448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 57.

The spelling of 7120656824448 in words is "seven trillion, one hundred twenty billion, six hundred fifty-six million, eight hundred twenty-four thousand, four hundred forty-eight".