7289713240656 has 320 divisors, whose sum is σ = 23555838044160. Its totient is φ = 1887210823680.

The previous prime is 7289713240637. The next prime is 7289713240687. The reversal of 7289713240656 is 6560423179827.

It is a self number, because there is not a number n which added to its sum of digits gives 7289713240656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1635562780 + ... + 1635567236.

It is an arithmetic number, because the mean of its divisors is an integer number (73611993888).

It is a 1-persistent number, because it is pandigital, but 2⋅7289713240656 = 14579426481312 is not.

Almost surely, 2^{7289713240656} 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 7289713240656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11777919022080).

7289713240656 is an abundant number, since it is smaller than the sum of its proper divisors (16266124803504).

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

7289713240656 is a wasteful number, since it uses less digits than its factorization.

7289713240656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842 (or 5836 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 7289713240656 in words is "seven trillion, two hundred eighty-nine billion, seven hundred thirteen million, two hundred forty thousand, six hundred fifty-six".