7093536981264 has 120 divisors (see below), whose sum is σ = 20351949209592. Its totient is φ = 2305060208640.

The previous prime is 7093536981221. The next prime is 7093536981277. The reversal of 7093536981264 is 4621896353907.

7093536981264 is a `hidden beast` number, since 7 + 0 + 9 + 3 + 5 + 369 + 8 + 1 + 264 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 391175193600 + 6702361787664 = 625440^2 + 2588892^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7194312 + ... + 8120664.

It is a 2-persistent number, because it is pandigital, and so is 2⋅7093536981264 = 14187073962528, but 3⋅7093536981264 = 21280610943792 is not.

Almost surely, 2^{7093536981264} 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 7093536981264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10175974604796).

7093536981264 is an abundant number, since it is smaller than the sum of its proper divisors (13258412228328).

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

7093536981264 is a wasteful number, since it uses less digits than its factorization.

7093536981264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927705 (or 927696 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 7093536981264 in words is "seven trillion, ninety-three billion, five hundred thirty-six million, nine hundred eighty-one thousand, two hundred sixty-four".