7826482566144 has 352 divisors, whose sum is σ = 25295339059200. Its totient is φ = 2370726420480.

The previous prime is 7826482566137. The next prime is 7826482566181. The reversal of 7826482566144 is 4416652846287.

It is a happy number.

7826482566144 is a `hidden beast` number, since 7 + 8 + 2 + 6 + 4 + 8 + 2 + 5 + 6 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×7826482566144² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1532498439 + ... + 1532503545.

Almost surely, 2^{7826482566144} 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 7826482566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12647669529600).

7826482566144 is an abundant number, since it is smaller than the sum of its proper divisors (17468856493056).

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

7826482566144 is a wasteful number, since it uses less digits than its factorization.

7826482566144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10186 (or 10162 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 7826482566144 in words is "seven trillion, eight hundred twenty-six billion, four hundred eighty-two million, five hundred sixty-six thousand, one hundred forty-four".