7089826484268 has 432 divisors, whose sum is σ = 20803139884800. Its totient is φ = 2109352544640.

The previous prime is 7089826484263. The next prime is 7089826484287. The reversal of 7089826484268 is 8624846289807.

7089826484268 is a `hidden beast` number, since 7 + 0 + 8 + 9 + 82 + 6 + 484 + 2 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7089826484196 and 7089826484205.

It is not an unprimeable number, because it can be changed into a prime (7089826484263) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1630217758 + ... + 1630222106.

It is an arithmetic number, because the mean of its divisors is an integer number (48155416400).

Almost surely, 2^{7089826484268} 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 7089826484268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10401569942400).

7089826484268 is an abundant number, since it is smaller than the sum of its proper divisors (13713313400532).

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

7089826484268 is a wasteful number, since it uses less digits than its factorization.

7089826484268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 7089826484268 in words is "seven trillion, eighty-nine billion, eight hundred twenty-six million, four hundred eighty-four thousand, two hundred sixty-eight".